I think of the subset of hands that you don't open 1N, you can bid 3N showing that hand type. This is not perfect obviously, but it is a small subset of hands and I'm surprised you're so worried about it.
Personally, I think rightsiding 3N is the most important aspect. Maybe you were super prime and decided not to open 1N and you still don't wanna bid NT (Axx AKTxx Axx xx). In that case, you can bid 2H followed by 3D then guess. Still not perfect, but that is why some people open 1N with those hands, to avoid rebid problems. And if you don't, bidding NT next doesn't seem best anyways, keep trying to get partner to bid NT and you keep bidding suits since your hand is so suit oriented. I mean, nothing is perfect, but I would say systemically bidding 2H with all 5332 mins and bidding 2N with AQ KJxxx xxx KTx and getting some black suit lead through when your partner declares 3N is also a problem. Nothing is perfect. I just don't think the range of hands that you open 1H and then want to bid NT and then gain by bidding 2N rather than 3N because you are scared to drive to 4N but want to show extras and didn't open 1N is a very frequent/important hand type. Just my 2 cents but I am a macho 1N opener guy
