I understand your desire to earn points and stay credit for the nights; however, there isn't any way to do this that is compliant with the Marriott T's &C's. Best you can do is book the two days where you are paying rather than your wife's company in your name. You could ask the hotel as a courtesy to grant you your elite privileges for the duration of both stays and also to remain in the same room. They are under no obligation to do so but I think there is a good chance they will (unless it is very high occupancy the entire time). With the current Covid-19 protocols, elite privileges are few and far between unless you get lucky with a suite upgrade. So in the long run, other than the reduced points/nights earned, it may not make much difference. Good luck...

--Jon