I believe the group of core members, who were making that bid, and perhaps a few others as well would stay on as members, even if public play were allowed. Of course, some of the high-profile members would leave, as it was less about the golf for them. But those, who simply love the course, wouldn't mind sharing it with others, I'm sure.
This "private course" vs. "public course" dichotomy in the US is not sensible. There is a lot of room in-between, actually most of the world operates on a hybrid model.
I'd say cut all the non-Golf amenities and make the greenfee low enough, so that everyone starts flocking to the place. $50 would be a good number, advertise it as a "special price for a limited time only". If it gets crowded, raise the greenfee. See if some of the guests, who show up regularly, might want to stay on as members. Offer a non-initiation fee, subscription-based membership.
You can do a couple of years with that model and then decide, whether you are in a position to go fully private again. But chances are you wouldn't even want to. A truly great course would attract a semi-membership, even if it were fully public.
That's basically what the owner of my (commercial) home course does. Initiation fee zero, I am paying monthly dues and the greenfee started as a sensible number a few years ago, but meanwhile it is severely overpriced. Those guests, who still come and pay the inflated price, are a benefit to us members as well, because they keep our dues in check. Yes, the course can become crowded, but there are several courses owned by the same group, where I can play as a member as well - so I always find a place to play. The owner is quite an innovative thinker in some regards. For example, he says that 18 holes make no sense at all, when he opens a new course he always goes for 27 from the start. So he can host societies and company outings on 18 holes and still have 9 holes for the members.
Ulrich