OK, I tried. Tried hard. REAL hard! NEVER CLAMP STUFF TO YOUR BARREL! Phwew. Had to get that out.
Quaker, got a Dick's sporting goods in your area? Go check it out. They've got exactly what you want. A little flashlight with a laser in the middle of the light, that clamps to the magazine tube and has a remote switch you can mount next to the trigger. Forget how much is was, but WELL under a bill.
For what it's worth. I can move the POI of my 10/22 3/4" at 50 yards just by changing the tightness of the barrel band screw...