Right up my alley
Bullseye is a fantastic propellant for your application. It is however, "residuey" as I phrase it. For that reason, I have phased out Bullseye from my inventory; but would use it again in a heartbeat, should the need arise.
The most common "clean substitute" - if that's a fair way to put it - for Bullseye is Winchester 231 (a.k.a. HP-38, in the Hodgdon label - same propellant). W231 is a fine powder and is well known for its clean burn. I bought my first # of W231 in 1984 and haven't been without it since. Yes, it's that good.
AA#2 is also another great choice. Runs really clean too. It's a super-fine powder and so its metering consistency is astounding - better than any other. I have gotten incredible Standard Deviations (and accuracy) using AA#2 to push my 148 DEWC's through my 4" Model 67. It's great stuff. If you turn it down too far, it'll leave behind a lot of grainy partially spent stuff - but it's not "dirty."
N-310 is really clean stuff too. But it is expensive - about twice that of other propellants. Also, it's super super fast. So it would only be suitable for your target wadcutters; and little else. I've never used N-320 but it's a little slower and thus, likely more versatile. Since it is also a single-base propellant (like N-310), I suspect it's a clean burner too.
Others may mention TiteGroup. It does run clean. But it also runs really hot and I believe it is much better suited for plated bullets than lead slugs. Lead prefers cool burners - like W231