Is there any way to check for BLC course dates on my own? How fast can you go to a school for BLC?

There BLC at the post creates and OML for BLC class dates. There are lots of course dates, but knowing them won't do you any good. You need to get your promotion points up so you can get a higher spot on the list

Sure, you can easily look in the ATRRS course catalog. And if your base has an NCOA, you could go ask them directly. As for how fast you can get into BLC, thatll be a conversation between you, your unit Command and your Schools NCO

I would go and talk to your Training/Schools NCO for your unit. First you need to go to the SGT Promotion board and be recommended for promotion. Also complete DLC 1 first which is a prerequisite for attendance to BLC. I used to be a Schools NCO over a decade ago at Fort Irwin, CA (January - September 2011).