When you talk "800ish", what do you mean? Manufacturer's horse-poop claims? With the lightest pellets available? Or do you mean 800 with real, usable pellets the 14-15gr range?
If you're looking for the latter, that comes out to around 20ft-lbs of energy... and I believe the B30 and its cousin, the B21/B22 are the only guns under $200 that MIGHT deliver that much power. The B26 and the RWS34, whatever else their good qualities may be, don't have that kind of oomph.
Neither does a .22 Gamo, outside the no-longer-available 1250 model. I rebarreled a Shadow (a new one) to .22, and with Premier HP 14.3gr pellets, it'll do 720's. Plenty for what I need, and it plinks nicely at 50-60 yards, but if you're looking for max springer power this ain't it.
Don't know much specifically about the Beeman you're looking at.