I'd suggest a AA S400 Classic.
It's good for both disciplines.
I'd go for a second hand one and start competing. With a good scope on top you can expect very good results.
I'll stick my neck out and say that for FT a S400 with a good scope would be a better investment than an EV2 etc with poor scope.
Top advice - don't skimp on the scope.
S400 now with big Nikko, save some cash, buy dedicated FT rifle keep the Nikko. The S400 will hold its value or you'll love it so much that you won't want to sell it
Sorry if I went on