I am a Remainer and was in the process of signing a 'Let the people vote on the final deal' thing, when I realised, actually it really isn't a good idea.
The People, and I include myself in that, have shown that we really don't understand this stuff, so we're not likely to be any better at getting what the Deal is (though I'm pretty sure it'll be dreadful).
I think the campaigning around such a vote would be appalling, really vicious and divisive, and would end in a close result either way (and by no means a vote to remain). The Leave side would campaign as 'SAVE DEMOCRACY FROM THE ELITE!!!' resulting in lots of accusations, a rise in sly antisemitism ('Soros put them up to this!') and the Remain side would be fearmongering furiously. There'd be mass manipulation and dodginess on social media and the societal fallout would be awful even if the outcome were Remain. Perhaps especially if that were so - there'd be a big resurgence in the Far Right wanting to reclaim 'Their England' (or should I say 'There England) from the people who snatched away Britain's sovereignty (as they'd see it).
The only way I can think around it being a disaster is for there to be a firm Remain alternative that requires there to be a premium of government development money spent on the most deprived areas of the UK in the event of not leaving the EU so that all those places that voted Leave get something in return.