@Walter Hinteler,
Actually, in my opinion, there are three options:
- the EEA (that wouldn't respect the referendum result),
- a free trade agreement (which leaves Northern Ireland in a different position which is very threatening to the union),
- a no deal.
The Chequers deal proposes (better: proposed?) a UK-EU free trade area for goods, by using a "common rulebook" with the EU, but accepts there may be new restrictions on services.
Any result (new UK-plan) requires compromises from both sides. And that's difficult - I doubt, the EU will change the four principles; and I doubt, too, that May will get such a compromise backed by her party.