I have the Vittoria's installed with Michelin Latex tubes on a set of LBs wide 44-mm deep carbon disc tubeless ready clinchers as well and another set of Vittoria's with Vittoria latex tubes mounted on N ox Composites Falkor disc-brake only tubeless ready carbon wheels. Both work flawlessly and the only issue has been a bit of road debris causing a side-wall cut on the LB wheelset that required a bit of paper money to cover the gash so we could finish our ride. Conversely, I have experiemented with running the Vittoria's tubeless on both wheelsets, and while they sealed and held air pretty well, both wheels suffered blowoffs - second time was with bike indoors mounted on the trainer - after which I had enough of cleaning latex residue off stuff.
You should be good to go running latex tubes on your disc carbon rims. As far as I know, the latex/carbon problem potential comes from brake heat on rim braked models.
Regarding trying to setup non-tubeless tires in a tubeless configuration (which works fine on most MTBs), Lennard Zinn has written some good stuff about his experiments, which ended with catastrophic blowouts due to the stretch in a kevlar bead of the tire (true road tubeless generally has a carbon bead). Most recently, he tried a cyclocross clincher at 30psi, and even at that low pressure it blew out, although I suspect that part of the issue was that it was a Vittoria open tubular and the bead shape on those is such that it gets less purchase on the rim than most vulcanized models. If a non tubeless MTB tire can be run tubeless at 35psi, I would imagine that a 35-40mm vulcanized cross model with a substantial bead profile could be made to do the same.
Here is his article, in case you want more detail: http://www.velonews.com/2017/02/bikes-a ... ent_431044