Bearing in mind that the main problems are the Irish border, the Tories don't want a CU of any kind and Labour want a CU where they can do what they like. I'm talking real problems that need to be solved now. The problem of avoiding no deal .
The proposal for CU that came closest in the indicative votes came out of the Tories and got the most votes from Tory MPs. The government (aka Theresa) doesn't want CU, but that doesn't mean a lot since she's not gonna be around for too much longer and a lot of Tory MPs are looking for compromise.
If the Parliament agrees to pursue a realistic customs union with the EU, they could take that to Brussels and ask for a long term extension (2 years) to iron out the details and put the border checks in place. I don't think Brussels would disagree on that, so long as it gets some concessions from the Parliament about the certainty of that outcome (i.e. a binding vote) instead of wasting another 2 years.
The advantages of that would be two-fold; not only avoiding the no-deal situation and the ensuing disruptions it will cause, but more importantly it'd be finally giving businesses a clear indication on what to look forward to. Whether goods made in the UK will have tariff free access to the EU market or not.
That scenario would ultimately lead to a border in Ireland and the UK breaking the GFA with whatever that implies. But there doesn't seem to be parliamentary support for revocation or access to the Single Market, so being realistic about it that's very likely to happen. People's vote gives a glimmer of hope, but if the result is still out then what?