Terminal 2 is in the middle of the airport.
Informational Guide to Manila Ninoy Aquino International Airport (NAIA). All you need to know about Flight Arrivals and Departures, Terminal Information, Facilities, Parking, Hotels and Car Rental
www.manila-airport.net
Not that it helps you, but Terminal 3 (which QF uses) has the (220 metre) pedestrian footbridge (since 2017) direct from the terminal to the hotels, where there is also a shuttle. I always stay at the Belmont Hotel which is literally 50 metres from the end of the footbridge. It is an excellent hotel and reasonable value.
If you have to be back at Terminal 2 for a 9 am departure you would be best to find something adjacent to that Terminal and avoid or minimise any land transfers, although I think at 5 am, or whatever time you want to be at the Terminal to check in, the traffic should be better than the nightmare that it is in the evenings.
Grab is generally OK but the taxis can be a rip off depending on the driver, just like at any international city airport. There is also the reluctance to do short trips.