I’d have prepacked a lightweight tent and minimal camping gear, grabbed the bike, ditched the phone, stayed local to withdraw all of the £450 in cash over the first 2 days, then paid cash to grab a train within a couple of days ride of say the Lakes. Spend the whole month travelling round the trails, mostly wild camping, paying cash for everything in small local shops, farm shops etc. Nice little holiday and how would they find you?
I suspect that the programme has rules about these sort of things. No doubt you’d have to remain accessible for a vehicle based camera crew at all times, otherwise they can’t properly film it. Can’t see a camera crew bing happy tackling some gnarly trails and possibly bad mountain weather day after day.