Yes there are published loads for bullseye. Max 1 oz, look in Loadbooks USA manuals.
https://www.precisionreloading.com/cart.php#!c=153&l=LB
Alliant no longer lists bullseye as a shotgun powder because they have red dot, E3, and extra-lite. But bullseye was listed for light target loads up through the 1980's IIRC. I've never heard of anyone having problems with it.