The thing is that no-one is putting forward the idea of staying in the EU, sure there are a few back-benchers and opposition MPs pussyfooting around the idea of a people's vote but it will take the majority of parliament to force the government's hand on the matter and there is no consensus in the House for anything.
The next couple of weeks should be interesting and it's possible that parliament may pull a rabbit out of the hat but so far they are playing a very risky game and rather than averting a no-deal Brexit Grieve's amendment makes it, imo, more likely.
Hopefully the house can put aside its differences over the coming weeks and sort something (anything??) out. But I won't be holding my breath.