Non of the Aloha Seed varieties listed on their website are GMOs. "Rainbow" is the name of one transgenic variety I remember off the top of my head.
I believe the PRSV problem will be solved with natural breeding techniques, there is work being done, were wild PRSV resistant Carica varieties are being crossed with Carica papaya, they have found a way to get the pollen to stick adjusting environmental factors and what not. Transgenic papayas are not allowed in EU. so I believe interest in GMO papaya varieties are dwindling. plus Red lady, although not resistant to PRSV, is tolerant of it, meaning, that infected plants will still give a harvest to farmers with only minor losses.