Okay, considering the M36 was basically a M4A3 with a turreted 90mm gun I'm failing to see the advantages of a M4-derivative with a fixed 90mm gun. Probably the only gun which you would StuG-ify a Sherman for is the 120mm M1.
Agreed, but a Sherman/Grant StuG would have the advantage of being able to afford maximum armor thickness in the 120-140mm range, and over-all thicker armor versus the M36's comparatively thinly distributed armor, and open turret.
Now, if the whole thing were stretched a good couple of feet, and you went with a superstructure like the one used on the Jagdtiger, you probably could fit the 120mm M1, but it'd take serious hits to maneuverability and it'd have to sacrifice armor protection or take a massive hit to it's power to weight ratio. That said, it would be comparatively easy to fit a 105mm gun to it, but with the Priest and Sherman 105, (Now with Optional Jumbo package!) already evident, it's kinda a waste of a good hull. the 90mm or 120mm Jagdsherman is a better investment, but not by much over some of the ideas discussed.
Now, a 76mm or 90mm armed Grant/Lee? That'd be a decent prospective 2nd line modification, and a good stopgap for decent tanks, as would a casemate version of the Stuart, both serving as a rather inferior supplement to the M10, M18, M36, and M4, but still useful ones.
Edit: thinking about it, as it was, the 90mm gun was capable of killing even Jagdtigers, even if it couldn't reliably penetrate the glacis plate at range. IMO while there might be a case for the Jagdsherman in general use with the US, the casemate Grant/Lee would probably be a lend-lease only thing, and the sort of thing the Free whatevers would get, while major powers got real front-line kit instead. I'll probably use the idea for my Latin Pact project, if I ever get around to that as well.