Some of the composite stuff looks really really good. Most of it is, as birdhunter says, ugly, BUT there are some nicer options there. I like HowardH’s loungers - the dark material disguises the composite and it looks slick under the cushions.
Have you looked into HDPE? High density polyethylene. They use it to make Polywood type outdoor furniture. I am building an outdoor kitchen and considered using it for my cabinets (it is very strong) but the price drove me away.
It is as low maintenance as it gets though. I have a chair made of it, and it is extremely comfortable, heavy, and strong. When it gets gross I just power wash it. Still looks brand new after 5 years of uncovered use and abuse.
Sorry, back to the composite - check out the higher end Trex lines. I am doing a deck this summer, and have been impressed by the choices since I last looked. I opted for a Timbertech Azek line that looks just like French oak; however it is a PVC and would probably be too bouncy for your needs. I also heard that Deckorators Voyage is very nice, a lighter composite with very high thermal stability.
Finally, whatever you choose, if it’s in full sun, just be aware that composite gets scorching hot, so I would choose light colors or use cushions like HowardH has on his loungers.