I have a challenge. There is this faction called the Kingdom of Mysore which in the 1500s was a tributary state to another kingdom.
Starting from 1510, try to make a timeline that meets the checkpoints.
1540 triple the land area occupied by them, and give a coastline.
1650 have them conquer Deli Sultunate and control 3/4 of Modern day India and Pakistan. Have them meet the someone in the West speaking a Germanic Language (this includes English) or Romance language (they don't need to boarder it, just need to make contact. Have their own Marco Polo, only without the confusion of India and Madagascar as he seemed to do.
1860 Have them control the land from India to the Tigris river. Be of friendly terms with the British without losing independence to them. Weapon of choice for most infantry should be the musket (more advanced weapons for elite units is OK). Tributary and favored trading status is OK. Hinduism should be the majority or plurality religion, and still the religion of the royal family. 75% of the population or more should be Hindu, Buddhist, or Catholic. So combinations like 80% Hindu, 5% Buddhist, and 0% Catholic meets the challenge and so does 40% Hindu, 30% Buddhist, and 10% Catholic. The original Royal family must still be in control, through female lines is OK.