That said, as an alternative, you could indeed try to set up your own certificate log crawler/monitor and only match your hostname. Crt.sh is open source: https://github.com/crtsh
crt.sh hasn't been that slow as of late, from what I've seen.
I made cert-search as a friendlier frontend which attempts to show your exact rate limits and time windows, but there are a couple of caveats which could only really be solved by a first party rate limit API.