So, first of all, lemme preface this by saying I'm not a 7ender owner, I've never owned one, I don't plan on ever owning one so I have ZERO experience adjusting those truss rods with the heel adjust.
That being said, there's lots of talk about this on the interwebs and even here on TB. You are correct that the "typical" method is...take the neck off, which is creating problems with the screw holes like you mentioned. I've heard of some guys just loosening the neck screws enough to be able to get in there with a short L shaped allen wrench and not actually taking the neck fully off. I'm not sure that totally fixes the problem, but it may slow it.
And yes, you are also correct in that some instruments will need a truss rod adjustment every time you change strings. It all comes down to the string gauge, tension, tuning and stability of said instrument neck. All of those things can create a situation where the truss rod needs adjusted more regularly. Throw in seasonal weather fluctuations and you have yet another ingredient that factors in too.
So what can you do about it?
Options range from trying methods such as not removing the neck fully as stated above, to selling that thing and buying a different instrument on the extreme side (maybe one with a headstock adjust) or possibly fitting one of those wheel adjusters to the end of your truss rod (which may take some modifications to the body to do).