I currently know of none, but I hope there's something, somewhere. If anyone knows, please share!
Some pieces of info at regard can be found on Wikipedia, however - especially regarding the Marathas, who unlike the Mughals took care of having a modern and powerful navy, with the help of portuguese mercenaries.
The backbone of Maratha naval force were the ghurabs or grabs (similar to western frigates), that showed a hybrid rigging - with lateen sailed foremast and galleon-like the rest of masts. Their other main ship was a small galley called gallivat, similar in size to a western galiot.