A friend bought a used Daystate from Air Guns of Arizona a few years ago that came with a 4-14 variable scope that would shoot into the same hole at 30 yds if the shooter did his part...I've been watching a video of a guy shooting rats in a dairy barn. You tube I think. He is using something called a Daystate Airwolf with a big night vision scope and a camera add on. About a 3200.00 set-up. Way above my wallet and your price range. Neat video though. I have a beautiful break barrel Remington that I really like, but it's a break barrel.
I do the same as the Umarex has a 10 shot rotary clip. A High pressure electric PCP pump is the way to go if you shoot a lot.Starting prices in the neighborhood of $250.Hand pumped i got 43 full power shots before i adjusted the hammer spring at 925 avg FPS with a 14.3 gr pellet.I use the PCP Benjamin .22 Marauder Pistol with a short rifle stock attached, and use a scope. I've had it a few years, I use a PCP pump and usually keep it pumped to around 2500 psi, and repump when it gets below 1800 or so. I don't think a compressor will work though, I know they say you should get a scuba tank if you're going to shoot a lot to fill it. I don't shoot a lot so the pump works just fine. I think all in I'm over your limit, but not by too much. I can't remember where I got it, but I think it was Pyramid Air.
It is a nice, light, compact outfit, and overall I'm satisfied with it. Main complaint, it sits for weeks unused, so there is no way to know if you've loaded a pellet in the barrel or not. If I have it loaded, I put the safety on. If there is no pellet in the barrel I do not put the safety on. That is the only way I know if it's loaded or not. Once you cock it and load it, don't recock or you'll have another pellet in the barrel. I guess you could drop the magazine to avoid that, but it would be nice if there was some indicator to let you know if the barrel is loaded or not.
Wow, that's a fine machine. Out of the question for me, though.I also shoot and like my .25, FX Wildcat. have shot foxs and coyotes at close range......................no problems. JSB Pellets