"Target" to me implies "Benchrest". I've not bookmarked the site, but there is at least one--maybe more--for the benchrest crowd. Whatever seems to be the hot tip, there, would be the cartridge choice.
The Remington 700 action seems to be the way to go for a slim pocketbook and a non-specialty action.
Given your budget, I'd say to get the basics right, and then "add on" as possible, as your billfold builds up...
Regards, Art