Sorry I'm not being much help here Milly. The trouble is, there are so many variables ......... pipe size, gravity head, pump position etc etc ....... only the guy who fitted it would know.
The basic problem is that the valve is not getting enough volume of H compared to the amount of C ........... the Hot water supply simply cannot keep up..........
............. or ............. from what you say, you might not have a thermostatic valve, but a plain old manual one. If so, I think you need to discuss it with the plumber.
It's one of those where I really would have to stick my head in your A/C to see exactly what the layout is.
You're on the right lines having a pump fitted, but it sounds like the system needs a little further tweaking.
I'd love to hear back as to how you got on. :o)