I do the live trap, and then the 'shot' to the head is easier and less carnage. Not what I deem as a pleasant or enjoyable task, but 'gotta' do it, IMO.
One year, I trapped 34 and the next year 35. A couple years I didn't trap, but last year it was 18 (and I didn't bait the trap, just set it). Once last year there were two coons in the trap, and never quite figured out how they both managed that.
I don't look at tellin as braggin. It's information that others can take in case they just 'need to know' someday. Not everyone grows up knowing these things (some may not want to know and for them, I apologize).
If a live trap is used, plan to put it in a place where they can't get under it (if I use bait, I put it under the trap, not in it), a big rock on top so they cannot tip it over, and where the crap and scratching won't bother (once I put the trap on a flat roof, and the trapped coon scratched it up pretty bad). They make a mess when in the trap (suspect they don't care for it).
I tried gassing, but after an hour with the car exhaust running under the tarp, the coon was only a bit groggy. I felt sorry for it and used a .22 bullet. If the right time of year, I give the hides to a trapper (actually he skins it himself, so he takes the carcass too).