Britain received 17,000 sherman tanks. It's reliable and has decent cross country performance.
7.5cm/48 KwK 40 cannon fit into turret of 18 ton (original weight) Panzer IV. A similiar British made cannon should fit into larger Sherman turret without difficulty.
Germany welded 30mm RHA plates to front of Panzer IVG. Larger Sherman tank should support similiar 30mm RHA plates without difficulty.
Problem solved. Britain just needs to build Sherman upgrade kit which includes better main gun and add on frontal RHA. With these two upgrades surviving British Sherman tanks can serve into the early 1950s.
The 'similar British made cannon' could be the 75mm HV or 77mm HV, however the British have made extra effort, with the 17pdr installed in the Sherman Firefly. An interesting proposal might be equipping the US built 3in/76mm cannons with APDS ammo, the AP performance should be along the 77mm HV.
This table might show why the Sherman was able to take the hefty powerful 17pdr - the turret ring was of generous dimensions (open the table in separate tab for hi-res):