Just awarded a student loan repayment grant that will apply next academic year, probably ~23k left. Pay off lump sum?

Soooooo long story short, I was awarded a student loan repayment grant that will cover most of my loans. The grant will be dispersed sometime during my fellowship year next academic year (hard to say more specifics without doxxing. I'll just say I'm a physician in training). I'm not sure when exactly it'll disperse.

1. I'm currently on forbearance with my SAVE plan. Interest is accruing. Should I just start making payments now? Should I wait until RAP and switch on July 1?
2. Lump sum payment after my grant is dispersed, right? Will probably have 23k ish loans after dispensing. Have 31k in a HYSA and a lot more in retirement/stocks. Will be moving to a HCOL location. 8K I think would give me a 3-4 month emergency fund give or take. Incoming salary I think ~100k.

I'm guessing monthly loan payments to minimize interest and then lump sum?