There is no bah for a type rating course. You submit the bill for tuition, and they determine how many months of benefits they charge based on the cost.
I paid $50/night hotel + food + travel out of pocket. The VA reimbursed higher power who reimbursed me. Took 6 or 7 months to get it back.
If you want the bang for your buck, you need to go and get your masters. Or send a family member to college.