Luke, I moved your posts to their own thread in the plumbing section because I think you may get better responses here.
My toilet only supplies water during a flush, but it was somewhat blocked one spring when I de-winterized it. I never did figure out what the blockage was, but it was something that built up behind the flush valve.
Hi-Lo 1707T - Tire Minder TPMS on Tow Vehicle and Trailer, 300W Solar Battery Charger, Equal-i-zer WDH
2014 F150 Platinum 4x4 3.5L EcoBoost SCrew