I've had SU's on my V8 Series for decades an I've never had any issues. Certainly nothing heat related. They're off an SD1 and run on a dead head layout, so there's no return back to the tank, just a feed from the pump.
I've an electric fuel pump bolted to the transfer box with a generic plastic fuel filter fitted both in front and after it. I've removed the original metal mesh filter from the bottom of the tank's pick up tube. Its easier to replace the filter and each one lasts a year or so before they fill with bits of rust etc.
From your described issue after running for 40 mins I doubt it's your carbs themselves, but it could be the fuel supply. You don't mention what type of pump you have but I'll assume its an electric one. I have seen problems before, with electric pumps mounted too high above fuel tank level. Most electric pumps don't have great suction and are designed to be "pushers" i.e. fitted at the rear of the vehicle (unless you fit one from a Morris Minor which is designed as a "sucker".
SU's will run happily on 4 - 5 psi fuel pressure which isn't much, but if your pressure is way down you can run into fuel vaporisation within the float chamber and that will make it run badly.
Next time your Landy starts acting up put your hand on the ignition coil and see if it's very hot. It could be past its best.