You say you don't want a bolt-action rifle; please rethink that. I have a CZ 527 "Varmit" model in .223 that will outshoot many more expensive rifles. It comes with a trigger that you can use "normally", or you can "set" it; once set, it will fire if you breathe on it.
I got it NIB at a show for $425. I put a high-power variable scope and a Harris bipod on it, and it now is a tack driver.