I made one when I was in grad school and completely broke, and needed one that was larger than the school had. I used mdf for the base, placed a sheet of grid paper on top, then screwed a piece of plexiglas on top, trapping the grid paper in between. I counter-sunk the screws just a little so that there would be no risk to damaging the rollers.
This worked for what I was printing, but I wasn’t printing any fine text, just my own drawings. I think using a hard wood is a great idea, but again, was too expensive for me at the time.
Instead of screwing it all together, you could also try spray-on adhesive, or some other adhesive that you apply in a thin, smooth coat. Any variation in the glue will show in the print (on my first attempt, I randomly squirted some glue on the mdf, and that glue pattern showed up on every print!).
This was just a temporary solution – I saved all my dimes and nickels to get a Boxcar base, and I’ll stick to it from now on 🙂