I'd like to put in another vote for the Resita 75mm AT gun based on the Vickers M1931 AA. There's nothing wrong with the 3" 20cwt but everyone does that in their Britwanks. The Resita is also probably superior to the 3" 20cwt in terms of ammunition size, at the cost of barrel life. The use as a ZiS-3 style ATG/howitzer combination by the Romanians indicates that the HE shell was probably pretty good too, it's a perfectly valid option for a 1942/43 anti-tank weapon and recoil characteristics are probably fine given the light, high velocity shell.
Or, at the price of heresy accusations, just license the 76mm M1. Yes, I know it's the worst 3" anti-tank/tank gun of the war, but the Americans aren't going to pick up whatever the UK produces, the American 76mm is going to end up in the supply chain to British units anyway because Britain can't meet its tank production needs and the Americans aren't going to keep the 75mm Sherman in production for Britain, so lie back and think of England. Maybe see about designing a towed mount that can be hidden behind things without sticking out.