If you're working with BB Ply, you might try 1 or 2 coats of shellac. I like to use Bulls Eye and apply it with a brush, but you can get spray shellac also. It gives a slight orange tinge to the birch - looks warmer than straight birch. You can sand the top coat with 0000 steel wool to get a great sheen, and use the steel wool to rub in some paste wax to get a different feel to it.
Shellac is a resin dissolved in alcohol so it dries quickly - about an hour between coats. You need denatured alcohol to clean the brush.