John, as another who cannot tolerate mashing my cheek into the stock, or floating a bird, I'd move it on and find one stocked more suitably. I just cannot shoot a shotgun with less than 2 3/8" at heel, and 2 1/2" is better for me. I don't shoot trap, either, so "built in lead" is not something I need.
However, if the gun
really wants to stay with you

one consideration is having another buttstock built for it with your dims and saving the original for the next owner, to preserve the value. It's an expensive option, but an option nonetheless.