Depends on what you're hunting. You can drop $3000+ and get a custom DAQ 45 cal PCP that can and has taken deer. If you're talking birds, squirrels, and the occasional cat-sized pest then I'd get a Logun MKII 22cal. It'll run you $1150ish plus optics. Less expensive, and probably slightly less accurate would be the RWS Career 707 and Eun Jin's Sumatra. There's others in the high end PCP league that would also serve very well in different styles, from my choice of the MkII that has a nice walnut stock and looks much like a traditional firearm to the Logun Gladi8tor and Domin8tor which look more military-like with black plastic instead of wood.
Ian