Be careful if you want to do what frumgirl said, I know someone who did it And ok her second or third trip back in they caught on and told her she needs to become a citizen.
However the first question is why are you avoiding dual citizenship.
I’m assuming you’re a girl since you said seminary, so the Army wouldn’t be A problem because you just sign the paper that you’re a frum jew and get exempt. Plus you’re not required in anything really for the first year there.
Plus there Are advantages to being a citizen like cheap student ravkavs
I had multiple friends in seminary with Israeli passports, and it wasn’t a problem, so unless you’re avoiding it for a reason, your best bet is to stop trying to beat the system and just roll with it