I use heavy polythene - damp-proof membrane - and it's fine.
It's not that difficult to make a long wooden trough and line it if you get the folds right (I like to have at least 3cm of water in the trough, with the mat supported at least 1cm above that on a platform made of old slates - they are the same width as a standard tray).
A couple of inverted 5l water containers will keep 4 or 5 trays of plants going for a week in the hottest summer. Saw cuts in the necks will let the air in and the water out - best they are slightly different heights.
Cheers.
This sounds great but I can't quite visualise how you do it, can you describe it a wee bit more as I'm being a bit dense

You need a thick plank (15mm +) a touch wider than a standard tray - and as long as you can fit in. It's not going to get wet so blockboard or OSB is OK, though I wouldn't use chipboard or MDF because the tiniest splash can ruin it.
Then get some thinner planks that are 100mm wide (I use tongue and groove cladding) and screw them to both sides and the ends so you have a long trough. It doesn't matter if there are lots of joins because you are going to line it with polythene.
Practice making little paper troughs from spare A4 until you are sure that all the folds rise right up to the top at 45deg so the water can't get out.
Use thick polythene (DPM) to line the trough. The folds will need pinning in place at the very top. Drawing pins are adequate.
The trough will be VERY heavy when it has 3-4cm of water in it, so make sure it's supported at every 60cm or so on very strong supports (I use bricks stacked one on another).
Get some old slates or anything else rot-proof that is the same width as the trough (or glass, perspex, Upvc), and make a platform inside the trough by putting them on rot-proof supports that are say 4-5cm high. I used bits of polystyrene foam cut into beams - it won't float float off when the slates are on it. Don't make it a tight fit - the water needs to move through. I also used the plastic from fax rolls once - so old waste pipe will be good.
If you are going to use bottle feed (budgie waterer) then you need to leave spaces one end of the platform to fit them in (or both if the trough is very long).
Cut your capillary mat so it can drape over the long sides of the platform into the water (right down to the bottom). It doesn't matter if it's in pieces, as long as they but-up neatly and have their own drape into the water. You need to put an agri-textile cover on it anyway or else roots will find their way into the mat and clog it.
Does this help?
Cheers.