If this is a USBC league you cannot switch hands from week to week without permission from the league. In otherwords, you need to have a league meeting and explain your reasoning for switching hands (you can't do it just because you want to) and then the league has to give you permission to use whatever hand you are asking about. But you cannot switch back and forth in the league during the season.
As an association director and office staff, we do have lists of people that are trying to do what you are doing. Because most do this with not the best intentions. And some have been suspended by USBC for doing so. So she is not harassing you at all. If you had been doing this is a league where I was bowling you would not have made it past three weeks of switching back and forth and probably in the process of having your card pulled.
Plus in tournaments, you use your highest average no matter what hand it is. So when we find people that do this, we always rerate them to their highest average for local tournaments.