I've stayed at the Dome several times but never on AI only B&B and the breakfast was good. However this is when the hotel was owned independently and as it's now part of the Tsokkos group I've heard it's gone downhill a little food wise and entertainment wise due to cut backs in quality and money saving........which is the case with Tsokkos usually !
The hotel is actually on Macronnisos Beach....literally on the beach and in my opinion it's one of the best beaches on the east of the island. Nissi Beach is approx 3/4 mile away towards Ayia Napa. You very close to the Waterpark at the Dome and a few bars and shops can be reached at the top of the hotel road on Nissi Avenue.
You couldn't/wouldn't want to walk into Napa centre as it's a good taxi ride away which will cost approx 10 EU.
The hotel has a private portion of beach with it's own free sunbeds and a lovely infinity pool, gym and hotel shop. A good choice but not sure how it's faired since the takeover......I do know all the Cypriot staff were replaced by eastern europeans by Tsokkos as there was a large demonstration by them one day whilst we were on Mac beach one day