Appreciate the input Jeff. I suspect it might have to do with the barrel heating up as well. If that's the case, do you (or anyone else) know if there's an easy remedy (other than sitting and waiting several minutes between each shot to let it cool)?
Can I simply file the stock to float it? Should I try (with great care) to bed it?
As a point of reference, I watched a brief video on the Midway Arms sight of the bedding process and they made it look pretty straight forward though it looks like they applied the bedding along the entire barrel portion of the stock.
Again, thanks everybody.