I love both my TX200s and HW80s and would recommend them in a heartbeat. But if I was right-handed, it would be an Air Arms Pro Sport in both flavours. Absolutely beautiful rifle and the best for your allowed budget.
After that, look at the TX200, Weihrauch 97k/97KT, HW95, Weihrauch HW80, HW90, HW77. All of which are magnificent.
Can't recommend a BSA spring rifle, they are built to a budget and the quality is not so great as "adequate".
Pianoman