I would like to make a composite whose end goal is micro-mesh-like with pretty much zero strength/stiffness requirements except to hold its own shape with confidence. 

No strict specifications to meet on its permeability, but roughly speaking it should allow air to pass through, but not splashes of water.

Just wondering, does anyone have any experience? Is it possible at all?

Naively speaking, I am thinking of sourcing some loosely woven fibres, brushed/sprayed with very thinned-down resin, such that there's just barely enough resin to attach fibres together, flowed around by capillary action before curing.

Would such an idea work? Are there more appropriate terminologies for anything I've described?