No 6" vent pipe is biomass stove recommended or an approved method of venting it and I'm curious as to how you went from 3" venting to 6" venting, you said you 'improvised'. Improvised how? I have to assume there was a chunk wood stove there prior to the biomass stove, correct and if so, why was it removed?
My venting rarely gets hot except right at the stove connection and even then, not overly hot, just warm. That is by design as the inner stainless liner gets hot, but the air gap (and insulation) between the inner pipe and the outer pipe keeps the heat from radiating off the inner pipe and heating the outer pipe, how it's designed. Pellet-biomass stoves by design don't require a hot flue pipe to work correctly, why your stove produces draft via the combustion air blower.
Like I said, I'm curious as to how you got from 3" tp 6" venting. Also, what does the termination cap look like on the roof? If there was a chunk wood stove there previously, the termination cap on the roof could very well be plugged with soot or creosote and not allowing the combustion fan to push the exhaust out. Sucking the vent with a leaf blower/vacuum, wont unclog a clogged with soot-creosote termination cap. It need to be physically cleaned of deposits.
Something going on here that is abnormal. I'm thinking it's the venting itself and maybe not entirely the stove. It seems to me like the exhaust is being choked off and maybe it's at the termination cap on the roof. I know I have to clean mine every year, it gets loaded up with crud.
Guess you could use the leaf blower as the blower part up the vent pipe and blow the termination cap but that could be a messy deal, especially if it's clogged up seeing as your venting is inside the house (and probably the Cleanout Tee (if you have one installed (hope you do) on the exhaust vent of the stove. Why I don't like inside venting, cleaning it (which is a necessary periodic maintenance thing is always a messy chore.