Great question. To be sure, you should ask. But I'll give you my two cents: To answer your question specifically [what? a straight answer from a lawyer??] no, your daily resort fees will not trigger a "trip" for you regarding your ADT. What will trigger a trip, however, is if you allow Mirage to credit your player club account on check-in or check-out. I'm not positive that you can do this, but, you may want to see if they can fully charge your portfolio and (if they will) pay for your entire stay NOT at check-out but on whatever day you plan on doing your heavy gaming. This way you'll get your room cost credited to your players club on the same day you do your heavy play. See? You're already causing a trip to occur when you put your card in the VP card slot and press 'bet'! So if you're going to cause a trip, take care of your room costs that same day too! It's two birds, one trip...er...stone! =) Again, the only unknown to me (I'm a CET, not MGM player) is whether or not you can get your whole trip charged to your account at once and make payment. I don't see why not! You'd just have a credit on your portfolio which would be eaten away at each night as the new charges pop up.
The other way to do it (which I'm not crazy about) is that you just don't accept the credit to your player's club account when you check out. I'm assuming you're paying for your room. At $100(-ish?) per night, that's some nice pointage getting added to your player's account! I never had a player's club with MGM prior to last June, 2012, when my wife and I went out and stayed at Bellagio (one and only time staying at a MGM property). Because I paid full rack rate for a Bellagio Penthouse Suite, we leap frogged from the starter level of Sapphire, over Pearl to their Gold level. The good news, for me, was they did this on the day I was playing so I was able to get the credit on the same day I was already creating a "trip".
Whew, I get that I just dumped a lot on you! This (IMHO) is the fun of learning and playing the comp game! Welcome to the madness! =)