If you need someone to make it up for you, I used Golden Carpet, he was in West Babylon but now works from his home. Others here have used him so either Google the name or you can wait for someone to get you the phone #.
FYI,
I had the rubber backing on my last set of carpet, the reason I needed carpet was the backing was coming off and leaving marks on the deck. What stunk was the carpet was still in great shape. Keep in mind that I leave my carpet out unprotected, this may be why I only got 5 years on the backing.
The new synthetic backing seemed the way to go for me so that was the direction I went. After two seasons with that carpet I was not happy with the wear of the topside.
Not sure the brand, but if I was to do it again (not likely now because I put down fake teak, I would go with the rubber backing again.