You should be OK with a 1000 to 1500 micron stainless mesh.
Solid sides with perforated sheet for the bottom would also work. It will help in keeping the feed suspended longer with a diffuser under the insert. You would need to perforate or screen the top for outflow. Good idea, just how much flow is needed? Got me hanging! Maybe a combo of lightly perforated sides and a hole filled bottom.
Sounds like a WE feed training rig to me
I made such a basket out of 50 micron filter material. That was not a good choice, but was just testing. The water inside obviously got dirty, while the water outside was pretty polished and clean. Hey, I had the stuff and thought I would give it a try. It's OK for a couple of days, and that is about it.
I also made one from vinyl coated aluminum window screen, and that worked. Not much buildup to speak of. I did not spend the time and make a wire frame for it, so it was kinda flimsy. Just experiments. Duct tape was also employed.
There is a lot more to this. The barrel rig should work just fine.
"On Paper", I call them Cartoon's, because sometimes they are funny
Anyway, enjoy your projects!
None of us think the same way, and that is beneficial to everyone!