Here's a link to a comparison between cast acrylic and polycarbonate by Select Plastics, the largest marine hatch restorer in the world. Acrylic -vs- Polycarbonate
Tony knows his business very well and recommends cast acrylic which all major hatch producers also use.
Dow 795 or Sika Flex 295 UV are the adhesives of choice.
Cast acrylic will outlast polycarbonate by a large margin.