Tacklebury & Gcrank1,
Thanks for responding.
Gcrank1, I will do as you suggested. I haven't fired many rounds out of my Handi, so maybe it just needs more break-in, though I didn't have this problem when I first fired the rifle a couple of years ago.
Tacklebury, I have to this point only used the same factory ammo in my Handi (ie, Federal VitalShok w/275 gr Barnes XPB) with which it is scary accurate,when of course the barrel doesn't pop open. Interestingly enough, for the box of this ammo that I have, I measured the COAL with my calipers and only noticed a couple of thousands of an inch difference between the shortest and longest. I was measuring from the bullet tip, which could easily account for this small difference. IIRC the loaded round lengths were within the SAMMI specs.
When I get back home, I have some things to try, thanks to all of the advice I've received.