Re: Model 7 recoil management
You mention that it seems too short already. If the LOP is too short, that will make the problem worse. As mentioned, try a slip-on pad and see if a longer LOP helps.
A longer, heavier barrel will help but is an expensive option. I'd opt for a heavier stock first as it's likely far less expensive. Think about a thumbhole style if you want to decrease the jump even more.