Just changed rear brake shoes

The brake shoes might not be correct part number. If you have the old ones compare them to the new ones and make sure they are the same dimensions and not wider than the old ones.

The shoes are different front and rear. Compare the two shoes and they will be different. Make sure you put them on the same way you took them off. Meaning put the larger shoe in either front or rear and the smaller shoe in same fashion.
The only other thing I can think of is incorrectly installed springs or the parking brake cable being put into its slot incorreclty.
It is too bad you took the core back to compare them to.
The shoes being incorrect part number is most likley or you have installed leading and lagging or front and rear shoes in wrong order on both of the fronts or rears on one side.
There are not a lot of possibilities as the axle keeps the drum at the proper distance from the shore so it does not touch it. So, there has to be an issue with the shoes sticking out on the drivers'side.