The hotel which best fits the bill is Hotel Guadalupe which is about 300 metres away from the entrance to the Alhambra.
The car park is about 200 metres away and the is very easy to get to.
You can book the hotel click here
It is very easy to get to, you just go around the circunvalación (the ringroad) of Granada and then it is a five minute drive to the car park.
You will use the Alhambra car park.
There are many signs to the Alhambra which will take you to the Alhambra car park.
This avoids all the narrow streets and complications if you get a hotel right in the center.
There is more info about guadalupe hotel here.
https://granadahotel.com/hotel/Hotel_Guadalupe_Granada
It is very convenient to get to the entrance to the Alhambra from the hotel.
To get into Granada from the hotel there is a frequent minibus service which will take you down to Plaza Nueva.
The C32 and C30 minibus stop just a few metres away from the Guapalupe Hotel.
See more info about the buses here
https://granadainfo.com/alhambra/minibus.htm
This is the front of the hotel

This is a map of the road network of Granada. You can see that it is easy to get to the Alhambra

Frequently asked questions about Granada