Ah ... the 2200. That brings back memories. I thought I had put a strip guide in 'Idiots Guide' sticky on here but maybe not. I do have notes on the strip / rebuild though if they would help. Maybe I should add them to Idiots.
From memory I think an issue can be the valve unit if you are unlucky to have a dodgy one. I tried to get one but could only get it via an RFD here. In the end I went to Crosman in USA, or maybe it was a US dealer, and got one delivered to me. But take care as I think various valve units were used in USA, Canada and maybe another place and in the event, I got the wrong one. My problem was, however, the blow off valve and I managed to mend it.
My repaired rifle was not bad but not as good as I hoped. But nevertheless I had fun.
Regarding a Daisy pump up. My daughter has an 880, among the first rifles she used ( under supervision of course) and went on to compete in the UKAHFT with it one year. She did remarkably well, beating several pcp shooters along the way. Output was, if I remember correctly, about 7ftlb but it may have been a little higher.
Cheers, Phil