Thank you for your question.
By all means your timing is fine. Please plan accordingly to have enough sleep. Amrit Vela times are between 1:00 AM and 5:00 AM. Any time in between should do it.
Please keep in mind that going to bed early enough to rest becomes very, very important to have a good amrit vela. I know of BKs who will retire at 9 PM. Others will do it later. Yet others, will need to take a nap to be able to “function” properly. Be cognizant of this and make your schedule accordingly.
The early hours of the morning are definitely of great benefit for spiritual studies as well as worldly ones. It is a good time to be acquainted with a peaceful atmosphere and to feel outer silence which will bring inner silence, for the atmosphere has an influence in us up to a point.