this is just conjecture, so YMMV.
I have a little trailer 4x5 or so.
I work on my woodpile 1-3x a week during the winter for anywhere from 20min to 1hr. This includes splitting, stacking, moving, etc.
I get a new load of wood for the trailer every 2-3 weeks.
At this rate I'll be lucky to have 2 cords by the end of the winter. (when I say winter, I really mean Mid Nov to Mid March).
I figure I get somewhere between 1/3 of a pickup load of wood on the trailer, but probably have gotten around 1/2 a p/u load before with very light wood. Lets say I get 8 loads over the winter. 2.33 to 4 pickup loads (lets say 3 for math's sake).
SO, Betting you need something more like 5-6 cords (I mean, you can get as little as you want, but 6 cords would probably let you burn as much as you'd really like to and not worry about supplies). That would mean you need to work 3 times as hard as I have been (really not a whole lot of work, IMO)
So:
1 to 3 hours a week of woodpile work
9 pickup trucks over 4 months (or equivalent).
So every two weeks you need to fill up a pickup truck. It takes some work to get that truck full, I didn't even get into that. I'd expect to spend every day trying to find a tree (or trees) to get, and then once a week you'll need to work at these scrounging locations for a couple of hours.
Stop and ask EVERY time you see:
downed major limbs in someone's yard
A standing dead tree in someone's yard
A crew taking a tree (electric, tree removal service)
Let people you work with know you have a saw and burn wood
Let people in your neighborhood know
post on CL
Put a quick poster up in the grocery store
good luck.