Perfessr, I figured the Titanium 700 in 7mm08 wouldn't be bad for recoil. Fully dressed at 6-1/4 pounds, with 140-grain bullets at about 2,900 ft/sec, the recoil isn't bad at all from the benchrest. I think mostly it's the stock design...
Jakester, when you say "target shooting", are you speaking of competition? Or just paper punching for pleasure? And, what is the approximate size of the typical deer in your area?
As far as brand of rifle, that's less important than fit and feel. Aesthetics plays its part, as well. Find either cartridge's model in any brand that sorta appeals to you, and mount it to your shoulder. If it feels good, you're on your way.
One thing folks don't often think of: With a scope on your rifle, mount it to your shoulder with your eyes closed. When you open your eyes, you should be looking right through the center of the scope. If not, either the stock is wrong for you, or the height of the scope mounts is wrong.
IMO, the 7mm08 is better for larger deer, or at longer ranges than the .243. For deer which dress out under 150 pounds, and where the typical shooting distance is within 200 yards, a good shot should do well with either cartridge.
If you plan on doing quite a bit of shooting, you can (over the long haul) save a lot of money by doing your own reloading.
FWIW, Art