Try your local glass shops. They may offer re-screening, or at least screen mesh for the DIY'er. The low visibility meshes are usually not sold in this fashion, and are only available on a new unit, but it's worth a shot.

Thanks.

Gosh..that seems like such a shame/waste/scam. I hate to get rid of a perfectly good door when all I need is clear screening.

I'll try them.

Anyone have other ideas?

thanks,

Just order a replacement *window* screen from a manufacturer such as Pella or Andersen with the high transparency screen, discard the window screen frame and keep the screening material, and put the high transparency screening into the existing door screen frame.

I assume what you're referring to is the nearly invisible screening that was recently introduced about 2 years ago. One can not usually find it in a door because you may walk right through it, so manufacturers supposedly don't offer it in doors. It lets through about twice as much light as a conventional screen, but I don't know of anywhere that one can buy the screen material unless you order a screen from one of the above two manufacturers.

I don't know if I'd recommend that. These screens use a different type of spline to keep the mesh tight, and they may not be compatible to the door frame. Besides, if you tear the mesh trying to pry it out, you'll lose an awful lot of money.
If you shop around, you'll find something better than what you have.

haven't tried them yet... but it looks like you can just order the material!
http://www.inlightenscreens.com
Good Luck!

Here is a link that might be useful: InLightenScreens