I would go with the 275/40 if they are you only two options, as
@chriscroft says you will get a lot more sidewall than the 255/35. A 275 tyre is a tiny bit wide for a 9J wheel but not so bad. Is it not possible to order just the wheels and then the tyres separately so you can have exactly the ones that you want? You are going to be spending a lot of money and so seems 265/40 would be better in your scenario to get it right first time I suspect.
Also I couldn't relate to your comment ' I’ve gone for the 275/40 to get a slightly better ride, coming off 18’s on 255/45 8.5'. A 275/40 has less sidewall than a 255/40 (even though the overall diameter is more) so the ride is likely to be worse I think........