Absolutely I'd start process to have your card pulled because the way you described it you were doing this during league play, not before.
USBC has rules and the league has rules. The leagues have meetings prior to starting their league were rules and officers are voted on. All league players are supposed to attend this meeting. If you start the league late, then you have a team captain that is supposed to guide the team and keep it within the playing rules.
What is the saying? "ignorance of the rule is not an excuse". The rule books are given to the president and secretary and treasurer. Plus the center should have a copy. Plus they are on bowl.com The rules are easily available.
What you have done is worthy of having your scores made null and void and wins and losses recalculated and procedings for suspension. That the league allowed you to continue this for 8 weeks is somewhat typical of the laziness of league officers these days. You are lucky you were not in a more competative league. Now you know. Pick a hand and stick with for the season in league. If you need to change hands, usually due to injury, then a league vote must take place. If you want to open play using either hand back and forth that's your choice, but not in a USBC league.