Both the P-22 and the Mosquito are somewhat cheezily built, the Mosquito more so. If you have a 1911 style gun, you can get a .22 conversion kit for it, and that gun is kind to small hands.
Other than that, like Ducman said, the S&W M&P has adjustable backstraps, and can come in a full size 9mm which would help alleviate the recoil.
Other than that, like Ducman said, the S&W M&P has adjustable backstraps, and can come in a full size 9mm which would help alleviate the recoil.