No it won't. If you are mixing rainwater and tap water 50/50 you have half as much minerals in the mix as in tap water alone. Since you are trying to reduce the minerals this is exactly what you want.
The key to stability is large weekly changes using the same mix of rainwater / tapwater. 3 of my tanks have 0 minerals (KH=0, GH=0). The pH in all of these tanks is stable - low but stable. In these tanks I typically change between 66 and 80% of the water weekly. pH is also slightly different in each of these tanks as they have different biologies, but that is fine.
IMO the 50/50 mix (and nothing else but dechlorinator) is your best bet. You could even go as far as 75/25 - but as
@essjay suggests you don't want to run out of rainwater. If you did this it is likely that your pH will gradually drop over time and then remain stable.