We were there around the 3rd week of October so I can't speak to the A/C situation. You could always ask if they would be able to give you a fan for your room in the event that it's warm. I liked the bathroom - I remember it being spacious, having a good shower, good towels to the best of my memory. We went to Amboise for dinner on 2 nights. The temporary host gave us recommendations and made reservations for us - I'll have to try to dig up the restaurant names though; on that trip I was not good about writing down all the places we ate, so I have plenty of photos of the food but need to track down the restaurant names. I'll reply back here if I can find them.
Updated: Actually that was easier than I expected. We ate at the restaurant in the hotel La Breche, on the opposite side of the river from the chateau (which means parking is easier). Very warm, friendly, family feel to the restaurant and hotel. We did the tasting menu and the food was very good - a bit more fine dining than the 2nd restaurant but not at all formal. We also ate at Chez Bruno which is nearer the chateau - classic French bistro food - escargots, duck confit, steak frites, foie gras terrine - also very good. I'd go back to both places.
