Viper
As I said, visting Kevins barns you'll find Gullwings galore in various conditions. He is really known for those but when I was there he had a 280SE (W111) and a Ponton Convertible in for restoration.
In the UK MB Club he's regarded more as an interiors specialist, although I wonder whether he would see it that way - it is however, most of their work and Kevin's background from what I can gather
He's a small team, so I would imagine the lead time he's given you is realistic
Also mentioned below is Roger Edwards Motors (Wembley). Know the mechanics inside and out, do restorations for owners and do rebuild the odd car to sell on themselves - Kevin does the interiors. They own their own bodyshop.
If you want my opinion.... get Edwards to do your mechanics, O'Keeffe to do your interior - they'd have no issue with you doing this, nor have an issue schlepping a car round the north/south circular.However, for bodywork.... tough one, my rear arches were done by Roger Edwards!
There's others around, TM Motors in West Molesey - recommended to me by Mechatronik - although no personal experience of them myself. Heaney (?) in NornIreland are known to Ben on here and If I recall will collect for you. There's also a restoration outfit in Poland (lost the URL)