I have a wood/coal boiler. The buderus boiler you have has the reputation of being a nice piece of equipment. The firebox isnt huge but I expect that is not the issue. There are a lot of issues that you need to understand before you make a plan to resolve them and the bummer is that learning hot to runa boiler without storage is a lot harder in the fall. I am not familiar with your boiler but it looks pretty standard
https://www.bosch-climate.us/files/G201_Install6720618151-01_US.pdf
I am worried about your saying that you popped the safety. This should never happen unless someone installed it incorrectly. There should be a dump zone on the boiler. The manual has installations with optional dump zones and other without them. A dump zone is usually an external radiator or a zone of the house that cannot be valved off. If the boiler goes over a high setpoint it should start pumping hot water to the dump zone to get rid of excess heat. This setpoint is usually set a few degrees higher than the air control so in an overheat situation the air damper closes to cut down on the fire and if there is just too much fuel and air leaking in the dump zone valve will open and send heat to the dump zone even if the thermostat is not calling for heat. The safety relief valve is just there to keep the boiler from exploding if the water starts to boil and exceeds the pressure rating of the castings. Definitely not good!. In My Opinion a dump zone is not optional unless there is some other fool proof method of getting rid of heat when there is no demand from the heating system. The other reason for dump zone is if the power goes out. That means the circulator pumps stop running and the heat had nowhere to go. The air damper control appears to be thermal so it will still close the air damper on overheat but that may not be enough.
First thing to learn is the boiler really only wants to run flat out full bore where all the heat is being pulled away as soon as its produced. There is primitive control of the output by cutting off the air supply but when you do that you are creating lots of creosote and air pollution. A rough way to think about is controlling the speed of car engine by stuffing a rag in the air cleaner. Ideally you want to match the amount of wood in the firebox so that the air control is always open. The problem is that the heating demands vary depending on the thermostat zones so you may be cranking along fine while you are heating up the house but once it warms up you go from needing heat to not needing heat for awhile. Meanwhile you have a full firebox and warm boiler so the choice is overheat the boiler and pop a safety or the air controller closes the air flapper (same as stuffing a rag down an air cleaner) and hopefully starves the fire for air and puts it out. The air flaps are typically not air tight and depending on how hot the fire was, enough air may be leaking in to keep enough burning going that the safety pops. Not a good situation.
Now add some water storage to the system. The storage is a big heat load that can take hours to warm up. In this situation the boiler is going to run for hours with steady of demand for heat. Therefore the air control stays wide open and all the heat is taken away to the storage tank. This means you are getting good combustion so no creosote generation or dirty smoke to the neighborhood. The trade off is you need to feed the boiler on occasion to keep the fire going while you are heating up the storage. With a small fire box that can be every 20 minutes while you are heating the storage. As the storage warms up you need to keep an eye on the storage temperature, as the storage warms up to its maximum temperature (it ranges but it has to stay below boiling and may be lower if you have a liner) you need to time adding wood so you run out before the tank goes over the maximum. If you time it wrong, the boiler is running full bore when the storage goes over its high temp and there is nowhere for the heat to go. This means the air flap closes and maybe the dump zone opens up.
Once the storage system is heated up the heat for the house is supplied from the storage for many hours dependent on how much of heat load there is and how much water there is in the tank. Realize most homes have slant fin type baseboard radiators and they are designed for fialry hot water, usually over 140 F. They still put out some heat with lower temps but most homes are designed for hotter water to reduce the amount of baseboard. Therefore once the storage gets down to 140 F its time to fire off the boiler again. So the trade off is with storage you need to pay attention to the wood boiler more often for 2 or 3 hours and then ignore it for a day or two depending on heat load. If you try to just run it without storage to meet the heating demand then you need to watch it constantly and live next to it on cold night or risk popping safeties.
I have found few folks over the years who run strictly a wood boiler with no storage. The ones that do eat up a lot of wood, create plenty of acrid foul smelling smoke in the neighborhood and have creosote issues. I got my boiler for free and tried to do it without storage and decided the hassle was only worth the effort during really cold stretches when I was home. It wasnt until I put in storage that I stopped buying oil for my furnace 5 years ago.
The other thing to realize is the fire typically goes dead out in between firings. Unlike a wood stove, there are rarely any coals that remain so you need to stock up on kindling as you will be relighting the boiler every time you need to heat, with storage that is every day or two. I start mine with just a few sticks of kindling and newspaper but I also have dry wood.
It is a steep learning curve and every install is different so you need to spend time figuring out the piping going into an out of the boiler. If you spend the time and understand the trade offs you may be a wood burner. If you dont want the hassle just dont sell it for cheap as its nice unit that should sell for good bucks to the right person.