Were it mine, Rich, I would put a band on it. You can always switch back if it doesn't help. If it has a front sling swivel there is a perfect place to put one- use it as the basis for the band screw. I never messed with a 340 in that respect, but I know for a fact that Krags behave better when fitted with a band because they too have marginal anchoring back on the receiver.
I tend to not try to second guess the intentions of the guys who designed these things.
