The problems encountered with the DD tanks at Normandy wasn't with the actual tanks. In theory, and in practice, they worked fine.
The heavy losses of the DD tanks were a result of high seas and missed drop points. Instead of the DD tanks going straight into the beaches (with the waves), they missed the drop point and had to approach the beaches at 45-75 degree angles. As a result, the waves were striking the DDs broadside, which resulted in their foundering.
Since we don't have swells or waves in AH, DD Shermans would work fine.