I'm not sure if this thread is helping or hurting the OP... Too many options create confusion. If you (OP) are certain that your quarry is only coyote and down sized game, then a 1:9 or lower teist .223 is a great way to go... Good ballistics and inexpensive to shoot. If you "might" move up to deer sized game and still want only one rifle, then consider, .243, .260, 6.5x55, or similar... Any of these and others in their class will work fine... Guns I would recommend are the Rem 700, Savage 10/11/12, Tikka T3, or Weatherby Vanguard... They will all work fine. Just buy one and get shooting! Have fun.
This is some pretty sound advice as well. I bought a Vanguard S1 when they were on sale and put a Timney in it for another $120. It wears me down when walking around with it all day (snowshoeing through thick snow) but boy is it nice to shoot, groups a LOT tighter than my partner's T3 lite that's for sure. As per the caliber choice.223 is unbeatable if you're only going to be shooting bought ammunition for obvious reasons. If you're planning on reloading I believe there are better choices. .204s are flat, fast, cheap, and you can see your hits in your scope even with the lightest of guns. and something like .243 offers you heavier bullets which will buck the wind better for those long shots (or if you decide to take down a dear)...
...in the end, it's really preference, but I'm sure you've picked up on that by now. People are naturally going to vote for what they've experienced success with. Which in modern shooting tech is almost anything. As such, you'll be happy with almost everything you take the time to get used to and play around with. It's pretty obvious what I'm biased towards



















































