My first try would be to use a clear, two-part linear polyurethane varnish. You could dip, if able try to calendar, or if truly necessary try to roller coat or even brush on (over a glass substrate). Pretty low viscosity, so it should wet out your fabric okay. It may be best to use multiple thin coats, each applied after the previous one has gelled or even longer (overnight would be best if you have the patience).
You should be able to find Interlux PerfectionPlus LPU varnish at any consumer marine supply store (or in “YachtySnotty Speak,” a chandlery). There are also on-line marine supply stores, such as Defender www.defender.com and West Marine, www.westmarine.com (aka “Worst Marine” in some circles). There are others. Google is your friend.
An idiosyncratic opportunity, but one that seems reliable in my past dealings (once I have been able to navigate through a truly arcane web site) is www.epoxyproducts.com/lpu.html - in Maine, of all places. Good prices, good service in my experience. Pretty good epoxy for hand layups, bonding and coating needs; not the choice for infusion - not really good low viscosity resins.