We've ben away from home for a couple of days, so missed this. I doi scan the Sky Arts TV listings from time to time but never saw mention of MK being on a Hay Book Festival programme. Maybe I missed it.
However, a couple of pointers, hopefully helpful.
1. You can get Sky Arts 1 and Sky Arts 2 on some of the Virgin Media packages.
2. Before we moved house, we had a Sky package and I made DVDs of several Sky Arts programmes. Basically, I recorded the programme on our Sky + box in full including lead-in and lead-out, then played the whole lot back on the televison which was hooked up to a DVD Recorder that had a hard drive. Having got the programme on to the DVD Recorder's hard drive, I used the normal editing facility to remove the lead-in, the lead-put and all the adverts, then simply ran off a DVD from that. I did not have an HD television then, nor a DVD Recorder with HD but the resulting quality was very good indeed.