So in the end you'd offer shares in a day trading operation. The trading would be either done by you or a bot or by community consensus (there's currently no way to verify someone is a holder of your share(s) and of how many other than motions...).
It hasn't been done so far afaik, I would (back on GLBSE 1) nearly have brought something like that online but then decided against it as the platform didn't have the liquidity back then.
I'm not sure of the demand, but in the end it only costs 8 BTC anyways - go on and just do it!