In fairness, Plato, a lot of people (myself included) don't really want to move forward yet. As you say, it's a choice between a free trade agreement or nothing.
I still feel I'm not ready to give up on the idea of sitting tight and finding a way to stay in, although I realise a re-run of the referendum is unlikely now, and not necessarily a great idea anyway.
My personal ideal solution (and I posted this on another thread the other day but no one seemed very impressed, so maybe it's flawed in some way I don't understand) would be to decide that the UK needs to stay in the EU for the time being, in order to respect the democratically expressed preferences of Scotland and NI. However, in order likewise to respect the democratically expressed preferences of England and Wales, it would then be crucial to hold a referendum on possible independence for England and/or Wales, followed, if appropriate, by a subsequent referendum on EU membership for either of those countries if they voted to secede (unlikely, in my view).
I think this would respect everyone's democratic rights, but create much greater stability for the UK and its economy for the time being. It would also enable the referendum that counted to be approached more knowledgeably by voters, and also buy some time to tackle some of the structural social problems that caused a Leave vote in the first place (imo).
I am actually thinking of starting a petition on this basis, so any feedback would be welcome.
I suspect a stumbling block may be some constitutional barrier to the UK not including England, but this is a very specialised area of law and I have no expertise in that area.