Ballyman, a blending valve (proper name thermostatic mixing valve) mixes cold & hot water to a preset, which is adjustable. It would be fitted on the hot inlet to the pump.
I don't think it will sort your problem, to a certain degree you blend/mix the water when you have a shower, to maintain a reasonable temperature.
You just haven't enough stored hot water when you use the immersion. Can you use your central heating to heat hot water only?