My wife and I spent two nights at the Elkaza Apartments. It's a no frills place. Just someplace to lay your head with no bells and whistles. The room is a decent size. The shower is TINY even for European standards. The staff at the front desk were very friendly and informative. However, no one is available at the front desk between the hours of 2-6:30pm, which is a little annoying.
My wife and I timed the walk to the center of town (or the shopping area). It took us about 11 minutes. It's a steep up hill walk to get to the main strip, so if you're out of shape you may want to stay someplace else.
The front desk can arrange tours and we bought bus tickets through them for a tour of all of southern Santorini. Worked out well.
Breakfast is left in your mini fridge the night before. It consists of 4 pieces of bread to use in the in room toaster, jam, butter, jelly, two croissants and a pitcher of juice.
I'm most thankful the room came with a mosquito net! Mosquito's are notorious on Santorini and rip me apart at night while sleeping. This was the first place we stayed that provided a mosquito net and I was thankful! Even with the net I was still bitten in my sleep twice. Oh well.
