Booking Air France via Virgin Availability

Pointify is tracking this transfer bonus for the points-and-miles community.

I am looking to book a trip from Houston to Rome and flying back from Florence to Houston (all on Air France flights connecting through Paris). I can book it through Air France but we have a lap infant and Virgin has a better price to add a baby. There’s also the ongoing transfer bonuses to Virgin that are better for transfers. I looked on Friday night and saw availability to book a multi city trip via Virgin but the next day I did not see the full itine