I personally doubt that the UK will go for EEA membership.

The Leave campaign made it crystal clear their rationale and the most notable were not allowing EU immigration and not giving money to the EU. For the Tory government to ignore the mandate would be politically catastrophic and would result in the same problems from the right e.g UKIP that caused this whole mess to begin with.

It seems more likely that there will be a whole raft of specific agreements over the coming decades that will facilitate a more constructive EU-UK relationship.