New Hampshire: I read an article over tha past year about just what you want to do and the folks involved felt the best way to go, as per the after action report, was a lightweight hollow-point movin' at a good clip.
Granted, coyotes and even the larger eastern yote aren't as big or heavy as some domestic breeds but they are wild predators and hard to hit. You asked if they really needed a 200 gn bullet - nope, but the issue is that whatever you hit them with has to do enough damage to lay'em down.
That being said, the 185 hp will do ya, but so will a 230 gn flatnose cast slug - and I mean flatnose, like a swc if you can find one with a large enough metplat to function and give you good accuracy. I'm still searching for that danged Schofield slug I saw once but can't seem to lay my eyes on it - it looked like the perfect cast slug for the 45 auto.
With whatever slug you choose, I would not use Blue Dot. It's a good powder but suffers from temperature variations. We (I) used to use it a lot for silhouette but during the colder weather would loose accuracy and velocity with it. I would stick with Unique or 231, or one of the VV OY powders in that burning rate range. HTH. Mikey.