Hmmm . . . . I think you've come to the party a tad late to be honest. The number of shoe-dealt, exploitable, games in the UK now can be counted on the fingers of both hands - as a result of all of the main operator chains electing to go with Dysons on their blackjack tables. The few that still offer traditional shoe-dealt games are the more up-market venues in the Capital, and you can be sure that as these places attract the better off punters from overseas when they visit the capital their games will be scrutinised to the nth degree. I have been told tales of visitors from overseas being offered a complimentary membership to a posh house-of-chance only to find it had been suspended when they returned for a second visit within a few days.
The last time I visited a Grosvenor venue, they did have a shoe-dealt game (with normal UK ruleset) but it came with a £25 min. There was only one person playing, with a stack and a half of black ones sitting in front of him, and his play was being watched by the floor inspector - usually they spend their time watching the croups for payout errors.
You might get away with asking if they'll open a table with a shoe (as your luck always goes south early on when you play against a Dyson) but unlikely they'll give a toss unless you have a pile in your hand that you're prepared to put on the line. They ain't going to do anything special for punters betting at a tenner a hand. If you do pull this off, expect to be watched and nailed once you start spreading your bets.
Good luck (wherever you play) !