I bet you could lower the price and weight by choosing the self standing mast version
Weight = no, price = yes.
Full unstayed rig will weight at least 10 kg and at max 15 kg. This includes the (collapsable) mast, boom, sail and battens. The difference in weight depends a little on the tube diameters you're using.
Currently I'm using a 45 mm ounter diameter lower section on my class 5 landyacht and it works very well. It is better then my older 50 mm outer diameter mast. The sail pumps very nicely with the gusts and the car is feels very fast and direct with it. Even in the lower windrange it pulls quite well. However, lower wind ranges for landyachting means a force 4 wind. 10-15 knots. The total sailarea is however only 5.3 sq. mtr. A larger 6.0 sq. mtr. sail is available off-the-shelve for this mast as well. That one should give you some more power in the lower wind ranges.
This mast (complete) costed me 127 Euro's excl. taxes and shipping was (relatively) inexpensive as well because the large mast section was only 2.70 mtr. The whole mast is 5.5 mtr tall and comes in three sections. I'm using a 1:5 mainsheet purchase system on my class 5 and the mast handles these loads perfectly. Without going into details, this shows that the thinner mast could mostl likely be be used on the a F12 as well. The main advantage is of course the fact that the rig can be fully collapsed and that makes it alot less fragile in shipping and cheaper as well.
The "heeling moment" of either mast layed horizontal is about the same (stayed, unstayed) unless the stayed mast is tapered. However, I greatly suspect it isn't as the proces making these stayed masts is extrusion and that allows only constant crosssection tubes. The unstayed mast is off-course tapered by definition.
If I had a platform I would simple put that rig on it for initial testing purposes.
For what that was worth !
Wouter