Under lever or Break barrel and .177
For that price, I would suggest a RWS 34 with a Hawke Air Max.
A good gun, with the right pellet of course, and a solid scope that'll handle the recoil. More than enough to do what you want. I would also suggest a good one piece mount, the 34 has a good kick that will make a cheap 2 piece mount creep on the action causing POI shifts.