FWIW, we opted to just stay all 5 night at the Edition. We're actually paying a decent amount extra to do so (versus switching to the Kempenski), but the Edition looks great, and we'll already be staying at two different hotels in Istanbul (the Four Seasons Sultanahmet for 2 nights on the front end, and a 1 night stay at the very end somewhere else).

If anyone has any suggestions of things to do in/near Bodrum (we'll have a rental car), I welcome them. We did Park Hyatt Mallorca for 7 nights in 2016, and I'm hoping Bodrum will be something like that. We also spent a lot of time in the Greek Islands as teenagers, but that was literally 20 years ago. This will be our first time in Turkey, but we are very experienced global travelers (50+ countries each).