Yes .22 will easily travel 100yds. Simple but counter intuitive answer is that a heavier pellet will fly slower for any given power level but will retain MORE energy at all distances & be less affected by wind. If you want descent groups, use the heaviest pellet with the best BC that your gun will shoot accurately with repeatable consistent velocities, combine that with weighing your pellets & visually inspect them when weighing them & either shoot indoors or on very still days for best results.

Problem with springers is they usually perform best with lighter pellets, there are some highish BC pellets in the 13.5 area, if your gun can shoot them well, they would be your best choice. You can push a 13.4grn pellet with 0.026 BC to 635fps which is exactly 12ft/lb which still has 4.9ft/lb at 100yds.

YMMV