Maybe one of Ivan's GMK Dolch GB sets with FnA pack will come up in the Classifieds section soon, or you can wait for his next GB which will hopefully include the F and A rows, too. Otherwise some old Cherry boards have the full set of profiles if you can find 'em, as Ivan says.
In terms of F key placement, any key above the number row you have to move your hand for, whether it's directly above it or placed further away, so that's one possible reason for the cheaper option of same profile caps as number row being considered acceptable. Also the fact that they're easy enough to index to by touch, so a profile difference isn't needed from that perspective. 75% boards weren't really on the radar when designing these set profiles, though. So the full set of 6 profiles is rare.
Raising the back can help, but it messes with the heights of the rest of the rows relative to each other which I would consider as more important for typing. Perhaps you can raise the back only when gaming?