I wish I had your workspace! I built two pairs of speakers about 10 years ago, when I did have access to some equipment. One of the pair (shown below) has 1/4" baltic birch ply veneer on top of 3/4" MDF. They've been sitting in my parent's house for the last 10 years! (Every so often I have the desire to ship them out to my place, but they are like bricks.) Anyway, good luck with the project - make sure to spend time putting on a really good finish. If I recall, I used a combination of tung oil and polyurethane with hours and hours of hand sanding. Also, my advice to you is to make sure the edges match up nicely. You can see on my the edges are not quite flush. The finish is really nice, though, so it kind of makes up for it.
Focal Tioxid tweeter
Audax 8" Aerogel woofer (I believe these are not in production anymore, sadly)
