I would run over to AVS Forum and ask for some more detailed advice over there. Almost always frames are made of some solid material. Home builds are most often done with 1x3 wood members with a central support and bracing to avoid sag.
I don't think what you are proposing will work well at all. The grommets really are designed to be individually tensioned with bungees.
Like these:
https://www.carlofet.com/shop/black-ball-bungee-six-inch-eachLace and grommet screens are really designed for some DiY frame solution. Otherwise, it is almost always far more economical to get a fully built, and properly edged frame from a company like Silver Ticket.
[Edited by AV_Integrated on Dec 7, 2020 at 9:31 AM]
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