Stingers will offer a greater velocity, but they are only made as hollow-points. Most here agree that, for defensive use, a solid round will offer more penetration, which is key in such a small caliber. The ultra-zippy, ultra-light Stinger just might not get in that far before it spreads out.
Though I don't use a .22 as a carry gun (and will not disparage anyone who does!), the .22 caliber guns I do keep loaded, including a Taurus PT22 and a Tapco-modified Ruger 10/22, are loaded with MiniMag solids.
Under normal conditions, MiniMags are about half the cost of Stingers. They are plenty hot enough to cycle the small blowback pistols that frequently fail with "lesser" loads.