If you want to improve accuracy...upgrade the front sight. Contact Henry, ask for a couple spare plastic front sights.
Then hand 'em over to someone will a mill and bit for plastic - and have them shave 'em down to .5mm.
This way when aiming at 3-4" 50 yard target - instead of blotting the target and guessing where the round will go within - you will instead be able to actually do a little aiming adjustment inside the target itself and have some idea of where the round will end up in the 3-4" circle.
Flip the rear sight to the smallest peep...it really helps.