I have a cat, 3 years old, female, spayed, mutt, indoor only, otherwise healthy and active who has been drooling excessively (a small bead on each corner of her mouth at any given time, small puddles when sleeping) for 2-3 days with no other changes (behavior, appetite, breathing, litter box, no change). She has no history of illness, and her only odd lifelong behavior is a strange love of playing in and drinking water (since she was 2 weeks old, so heavy water consumption is not a change for her) .
Normally I would take her to the vet for a dental exam as a first step.
However, at the moment, I am extremely short on funds, and would rather not make a trip to the vet unless there's nothing I can do.
So my question is: Under the assumption that it is not a life threatening condition (it at least does not appear to be urgent), what easy things can I check for on my own at home that also have solutions that I can try myself before taking her to the vet?