Don't be afraid of the Kimber. A little tinkering (if needed) will make them shoot and you will have one of the best handling, best feeling rifles available.
PS. I have had but one rifle in the last 10 years that needed no tinkering; a Cooper 7mm-08. But, they are a little more than you said you wanted to spend.
Cooper Excaliber stainless 7mm-08. I know, just a three shot group, but it does it over, and over, and over. This is with 140 gr. Partitions over RL-15.
Weight is 7 lbs. 2 ozs. with Talley lightweights and an FX II 6x36 on board.