James Black's company Avia Special operates Tiger Moths at White Waltham, and also at Stapleford, Leicester, Sywell etc. at various points during the summer.
The aircraft are skippered by CPLs/instructors with lots of taildragger and aerobatic time. Your father would have to fly front seat, but could still do most of the flying and lob in a quick wingover, loop or whatever, weather and strakes permitting. I might be the oil-spattered person who straps him in and swings the prop (but otherwise I have no connection with the company: I just do a bit of prop swinging and meet and greeting for them in return for a bit of free dual on positioning flights). Avia Special website is
www.aviaspecial.com