Hi all, just wanted to follow up for posterity and with gratitude. I followed the advice to Dremel the chunks and and dab to fill and it worked pretty nicely. Difficult to reapply a consistent amount of glaze, but it's good enough.
As to the root of the problem, I re-sieved and did something I've never done before: cleaned out the glaze bucket. I always sieve back and forth, ending up in the old bucket that has 5 years of crust all along the sides. This time I cleaned all the crusted glaze off. I suppose I could have scraped and mixed it in well, breaking up chunks and I may do that in the future.
Cheers!