Bump.
Welcome to MV Nick.
I looked at various parts diagrams for your '11 300GTS and every schematic shows the bleeder screw as part of the caliper, but no part number or description.
I did find an old MV post talking about the
front bleeder screw on an MP3.
Anybody know the brake fluid bleeder screw size?
Are you bleeding both the front and rear? Perhaps you can pull the front and inspect/compare? I am not 100% they are exactly the same, but it's one more data point.
My service manual also did not specify.
There are a handful of mechanics and parts folks on MV. Perhaps someone has a spare they can pull and measure.
Another option is to contact Scooterpartsco, SIP, or Scooterwest and see if they can advise.