Our current combi system has always been a disappointment compared to the combi in our previous property (different part of the country) and our stored hot water system with a large shower pump (local previous property).
This has been discussed in the past, but increasing the mains flow seems problematic.
Is there any major issue in theory with installing a new hot water cylinder (not pressurised) and header tank and cold water storage tank and then splitting the central heating circuit to do central heating and hot water (like your average system boiler)?
All this to provide pumped hot water to a shower. Overkill perhaps, but if we redo the bathroom this might be the time to consider it.
Cheers
Dave R