I think they should offer a unique "Warmoth-only" type of thing...a combination Tele/Jazzmaster. By that, I mean a single-cutaway design (Tele), but skewed horizontally a bit to give it that Jazzmaster/Jaguar "slant".
A quick (and very dirty) Photoshop mockup...on the left is the standard Tele (duh!), with the modified design on the right. I skewed the Tele body a few degrees and grafted on the rounder Jazzmaster rear portion (hence the sloppy, different-colored wood...but you get the idea):
They've got the Soloist and VIP models, plus the Z body and some others. But not much love for us "single cutaway, six-on-a-side peghead" guys. The only thing close is the VW model, but it's kinda smallish, and it already looks like something in existence (those Ernie Ball VH guitars). This would be something new, yet familiar and friendly...two classics - the iconic Telecaster and the swoopy Jazzmaster - brought together.
I suppose you could describe it as a single-cutaway Strat, even? Offer the forearm and tummy cuts, so it's comfortable and catches the paint highlights just right. Make a hollow version (the upper and lower portions completely routed out, with just the center piece solid, for anchoring the bridge, a B5 Bigsby (or those Tele-specific ones you see on Fenders). Rear-routing, double F-holes available, standard Tele-style side-mounted jack, etc. Pair it with a Tele neck, or just go completely goofy and use a big ol' CBS Strat reverse (upside-down) peghead to just further wig people out...