Back to basic Handi shooting technique 101!!
1. Trigger pull must be all the way to the rear, don't release it at the break, or the transfer bar will fall out of place and inconsistent pin strikes will occur.
2. Close the action with some force, when new this is extremely important, the latch and latch shelf need to mate and that doesn't happen real fast, takes some open and close cycles for the parts to get used to each other.
3. Place the front rest just ahead of the trigger guard under the hinge, if you push the guard right into the front rest, it will be in the same position each time. On my rest, the rear sling stud is also against the rear rest.
4. Even after polishing the bore, it may take well over 60-80 rounds to start shooting well, my Ultra started shooting real well after 80 rounds after polishing.
5. If you want to find out if the forend is affecting accuracy, remove the forend and shoot it, just slip it back on to reload and remove it again to shoot. If the forend needs work, it will shoot good without it.
6. Take your time shooting, most Handis don't shoot the best groups when the barrel is hot, specially without some forend work.
7. Always make sure the latch and latch shelf are dry, this is especially important if you clean at the range, it's real easy to get solvent on the latch since it's directly below the chamber. (Thanks cascadedad!!)
Hope this helps get ya out on your next range visit.
Tim