Had a similar requirement for a Crosman 2240 and 600 for target shooting. Tried lots of different pellets. Bearing in mind the 2240 isn't especially pellet fussy but the 600 is- big time- I had to find a pellet to suit both.

Crosman MatchPel ticked all the boxes and shoots really good groups from each pistol. Made in the USA and our sponsor sells them!