In the last photo, is the vertical galvanized on the far right the lavatory drain? If so, that can be horizontally wet venting the shower trap as depicted, although the curvature of those old metal fittings leaves a lot to be desired. That horizontal 90 and the black tee should really be a 45 and a wye. So there's something to be said for replacing the black tee and everything upstream (that's currently accessible).
Anyway, with horizontal wet venting, if you want to raise the shower trap, you have to raise the black tee (or its replacement) and everything upstream of it. That is, between the trap, and where the shower trap arm meets the lavatory rain, the trap arm can only fall one pipe diameter, not 5".
Also, does Wisconsin have its own plumbing code, or is it using the UPC? If it's using the UPC, the lavatory drain should be 2", with a 2" dry vent above, since the combined lav and shower drain goes on to apparently wet vent the WC. If you raise the shower trap and the lav fixture drain, and then the combined branch drain needs to drop back down to meet up with the WC, a gradual drop would be best. If you need that to happen more quickly, use two 45s, not two 90s.
Cheers, Wayne