Try brushing on a layer and letting it kick before putting on the actual laminate. Or wetout and squeeggee your cloth off the part and then lay it on, the foam shouldn't wick resin out of the glass if you have the right amount there.
The trick is; A bad carpenter has to cut a plank 3 times before it's to short, a good one does it at once... Working with foam is great, fast, giving a good result and the cost is about the same. In fact for the moment I don't see the reason why to work with ply.