I have stayed at the Goldfinch quite a few times. Always arriving from Europe at similar night time and continuing by car for 7 hours towards Bellary in the morning.

rooms are clean, shower is warm. Breakfast...skip it....

I would suggest you book airport transfer with the Goldsfinch. They will put a sign with your name/ flight number at the exit of the arrivals hall.

No waiting, no fuss in the middle of the nigt to book a prepaid cab....just go to hotel an relax.

same for return to the airport, hotel transport is most efficient.