If you use a piezo bridge you wouldn't need pickups under the Formica. Of course, that depends whether you like the sound of piezos.
I think you won't have enough magnetic interaction with the strings if you mount the pickups under a flat Formica top: there will just be too much gap. Maybe if you cut the pickup covers out of the same Formica top you might get the approximate look you're after.
One more aesthetic consideration will be how you hide the seam between the Formica top and sides. Danelectro uses paint to hide this joint.
In general, sounds like you'd like something along these lines:
