This is a really unfortunate itinerary. Realistically, if your flight arrives at 01.30am, by the time you are landside it is 01.45am. Your next flight will be boarding at 05.30am latest.
So if you walk to the Marriott immediately adjacent, you'll get 3h of shuteye max.
If you go to any off-airport hotel, even if it's just around the corner, the extra transport to/from that, whether by taxi or shuttle, will eat even more into your time.
I'd say it's either the Marriott or one of the big armchairs outside intl. arrivals.