Towing

As always the Owners Manual is the first resrouce you want to consult. From the 2008 Owners manual:

Recreational Vehicle Towing
Notice: Dolly towing or dinghy towing your vehicle may cause damage because of reduced ground clearance. Always put your vehicle on a flatbed truck.Your vehicle was neither designed nor intended to be towed with any of its wheels on the ground. If your vehicle must be towed, see “Towing Your Vehicle”earlier in this section

Remco says the Manual version is not flat towable, the Auto can be with a lube pump, but they noted that Blue Ox doesn't make a base plate.

Not in this forum.
Old posts with solstice in Dinghy

We tow a Pontiac Sunfire. I do believe they may be the same.
Ours is automatic and we can tow four wheels down.

What year is your Pontiac?