any rifle that shoots sub moa, would get you started.
things to look for are heavy barrels and stiff free floated stocks.
get a good bipod and good scope like a sightron siii 8-32x56 and you will be having fun.
the savage ft/r and a pgw coyote were the only production rifles that i saw on the line last year.
all other rifles were custom. usually bernard action and kreiger barrels with an array of stocks.
also depends on how much you want to spend. although not specific to ft/r
some rifles that would work good for ft/r would be the sako trg-22, and the tikka t3 sporter.
bang for buck the savage is hard to beat.
if you are into playing around with rifles, like switching stocks or chassis and barrels. you could go with a Remington 700.
shoot it as is and change things as you go. this can be cost effective instead of dumping a lot of cash in one go.
i use Remington as an example because they have lots of aftermarket goodies and are readily available.
you could do the same with a savage but you would be better of just to get the ft/r from the get go. as you want to shoot ft/r
the other option would be to go custom from the hop.
i am in nova scotia so i will use Hirsch Precision as an example.they are also a sight sponsor and amazing to work with.
http://www.hirschprecision.com/ he also has a lot more stock and is able to get other stuff than is listed on his website.
you could get a action and barrel and stock or chassis from him. as well base , rings , and scope.
there are local gun smiths that would assemble the rifle and you would have a custom rig just the way you want it.
i went the remington 700 way. had the action trued. added a barrel. kreiger i believe.
put it in a mdt lss. this i what i use for ft/r. i also use it for other shoots , that is why i don't have a f class bipod on it.
i hope this helps