After some searching on the internet I read about the 'Burgess Edge System', a router bit set that cuts a cove in the plywood edge and a bullnose on the solid edge. The two profiles match exactly and it leaves a a tiny little lip on each edge, ideally leaving just the top sheet of the ply untouched.
I bought the set from lee valley and after some buggering around with the supplied shim kit I was glueing up my first couple test pieces. The edge is applied thick and once glued up it is flushed to the faces and trimmed on the tablesaw to whatever thickness is desired. I think I'll leave the edges at about 1/16" - I like the look. Another nice feature is that it leaves such a small shoulder, requiring a very small amount of pressure to close up the joint.
Another concern that I've been testing is removing the finish from the plywood in the joint locations. Obviously glue doesn't stick well to hardened epoxy, and I didn't really trust the biscuits alone to hold things together. After a failed attempt to scrape the finish off I decided to stick to a laminate trimmer. It's difficult to maintain the necessary 0.002 cut, but it turns out that even if the cut ends up heavier it doesn't seem to really effect the fit of the joint.
I've also been playing around with my biscuit joiner, which is brand-spanking new. It's pretty straightforward. I think that while operating it is pretty much dummy-proof, the margin of error lies in the proper layout. Making sure that the correct reference face is used while cutting the biscuits locations seems like it could screw a fella up quick!