.243 leaning a little more toward coyote?
Don't be fooled, .243 is plenty of rifle for deer. Nothing against .25-06, it is also a great caliber. Both of these are nicely flat shooters and have a wide variety of rifles chambered for them.
You didn't mention what action you were looking for, which may affect the recommendations. For instance if you really like levers, a 30-30 would probably make the most sense.
I think I'd also give a +1 to cowboy_mo's response.