The problem
The problem with the UK is it's such a small densely populated island...
I can't imagine you'd stay hidden in the woods for long.
If I was alone and in one of the worst places (UK, Australia, NY or California in the US, etc) then I would also move. Though I would think about moving to a more remote place in the same country so at least I would not risk being deported due to not being a resident.
I live in Hungary and I plan to move to a more remote place. There is only one village where some people know me and thus I am looking for property in that exact village. I am looking for a place which has forest at the back of the yard so in case of a hard lockdown I can at least leave my home on foot or on a mountain bike. (You know I predict camera or 5G radar enforced lockdown and maybe only a forest could make it possible to move.) This way I will be more mobile than the average people and that will be enough to feel smug.
Regarding the vaccination rate the place is not ideal but I think knowing people is more important. Interestingly enough the gypsies have the lowest vaccination rate. In Hungary there is a village with ~10% vax rate (while the national average is about 50-60%) and virtually all people in the village are gypsies. There was a short film about it and the men basically told that they know this whole thing is a hoax. These people are considered to be the stupidest and they are the most clever in this question even without academic knowledge they just feel it. And they are the only ones who can stand up as a group because they live together in a village and 90% of them is on board.
The problem with the UK is it's such a small densely populated island...
I can't imagine you'd stay hidden in the woods for long.