Highly recommend Enrique's place! My colleague and I stayed here for a full week while in Madrid for work, and we each basically had our own "suite" within the apartment.
It's beautiful (especially that view of the city from the terrace!), pristine, and overall was a great experience. Enrique made everything easy for us.
Regarding the location - this is not in a main area as far as tourist attractions. It worked well for us because it was convenient to where we needed to be working, and cabs were also really easy to pick up from the street outside. Tip for anyone visiting Madrid - download the app "mytaxi" - it is like Uber for taxis!