I would avoid the Benjamin Trail. I owned one, and was not a fan. With a lot of practice, it could eventually become somewhat suitable for rabbit hunting, but the accuracy would be 2" groups at best at 50 yards. Also, I need to mention that when Benjamin / Crosman state that their rifles will hit some stated FPS rating, they are doing that with useless low weight pellets which can't hit the broad side of a barn.
As mentioned above, the Diana would be a great pick. Personally, I'd go with the Panther:
https://www.specialtyshootingsports...reak-barrel-air-rifle.html#fndtn-product_info
Nothing wrong with that, but it will have an unusual recoil like all high powered springers (and nitro pistons) do. You'll need to learn to hold the rifle in the exact same way every time, or your accuracy will never be decent.
To avoid the springer kick, you can go with CO2 or pneumatic. A cheap option for CO2 is the QB78:
http://www.airgunforum.ca/store/product_info.php?cPath=22&products_id=30
Cheap and effective. Actually fires .22 pellets around 500 fps, and can easily be modified to shoot faster, or can be switched over to high pressure air. It should shoot decent right out of the box, and it's dirt cheap.
Alternatively, you could go for pneumatics. There are multi pump pneumatics, but they're basically all crap. There are also pre-charged pneumatics, but they are costly. The cheapest typical PCP is the Benjamin Disco:
https://www.specialtyshootingsports...eumatic-air-rifle-177.html#fndtn-product_info
Unfortunately, this will require an air source. You can fill it with a hand pump, or with a scuba tank. Cheap hand pumps are around $200. You'd be in for over $500 before even looking at a scope.
In any case, hope this was helpful. I'm big into airguns and am happy to answer any follow up questions you have. Just PM me.