This is probably way over simplistic, but, could the answer be as simple as taking the open slug seasons / open rifle seasons and changing them into MUZZLELOADER seasons? Smokepoles have become so advanced! Good ballistics, good delivered energy, but still take several minutes to reload. Maybe this delay alone could encourage greater care?
Then for the die-hard modern firearm enthusiasts maybe some type of regulated permit style or lottery style hunts to control their numbers if we can't control their behavior?
I apologize in advance for trying to play "social engineer" on this topic but here in NJ we have the probem too. I compensate by planning out the days I spend afield to be those days and /or locations that don't have modern firearm deer hunts or stocked bird hunts in progress. This has worked out fairly well so far.
For the record, I've fired five shotgun shells so far this year and came home with four squirrels. I'm OK with that as a newbie.
-BB-