We are looking at Lower Slaughter Manor and Lords of the Manor, but are open to exploring other possibilities. (We stayed at Buckland Manor 4 years ago and loved it, only thing we would wish for is more walks on more level ground, since I have knee issues.)
We would come by taxi/car from Oxford, spend 3 nights, go to Heathrow to return to the USA. We like gentle walks with good footing. I have walking sticks but find slippery downhills tricky. We like good food and scenery.