The Brave New Old World section of Bronze Age New World TL does this if you care to read it. It's one of the few complete ones as it has an 18 chapter section on Alt-Suleiman's reign.
Didn't Aceh at some point swear allegience to the Ottomans?
I could imagine the Ottomans doing well in Malaya and Sumatra, maybe a few naval bases around Ceylon and a firm grip on Oman. Gangbanging the Persians with their Mughal allies from time to time with whom they have a wonderful economic trading relationship.