You might try some of the boutique TTS PREDATOR loads from Apex Ammunition.
They come in 2-4-BB and are Va. Approved for deer.
My oldest son (32 ) swears by their Turkey loads out of a 20-ga. Remington Ute 870 w Romeo5. They ragdoll big toms out to 50 yards.
The deer loads are going for nearly $7 a shot per round...