Garage can't see it til 3rd June

Failing that I could try a dude where I work, but it's getting it there, I'll have to drive, rest, drive rest.
I'll probably get one of them to do the pump, it doesn't seem like a thermostat issue as once the radiator bottom hose is hot, it'll stay hot, as the car just needs a chance to circulate it there. I've no doubt, considering my symptoms and other peoples past issues, that it is the pump.