The larger the diameter of the pipe the better. The smaller diameter pipe will mean the cloth must flex much more when rolled.
You should take a look at the
DIY Tab-Tension Rollable BOC Screen thread.
You might be able to use the ideas posted there as is or modify them some to make it a top roller system.
If you can get a 2" diameter copper pipe that would be a better option for a roller.
You may find that round conduit is much cheaper though.