I've been playing with the thought myself today, and this is what I've come up with. Behold - the Stratmaster.

Basically, it's the body from a Pawn Shop '72 with a Jazzmaster neck and bridge/tremolo, fitted with two Jazzmaster pickups and a Strat single coil in the middle position. More detailed specs:
General
Model Name: Stratmaster
Colors: 3-Tone Sunburst
Body
Body Material: Alder
Body Shape: Stratocaster®
F Holes Sound Holes: Bound "F" Hole
Neck
Number of Frets: 21
Fret Size: Medium Jumbo
Position Inlays: White Dot Position Inlays
Fingerboard Radius: 9.5" (24.1 cm)
Fretboard: Rosewood
Neck Material: Maple
Neck Finish: Gloss Urethane
Nut Width: 1.650” (42 mm)
Scale Length: 25.5" (64.8 cm)
Neck Plate: Vintage Style 4 Bolt
Truss Rod Nut: 3/16" Hex Adjustment
Electronics
Pickup Configuration: S/S/S
Bridge Pickup: Seymour Duncan® Antiquity II™ for Jazzmaster® Bridge Pickup
Middle Pickup: Lace® Sensor Gold™ Middle Pickup
Neck Pickup: Seymour Duncan® Antiquity II™ for Jazzmaster® Neck Pickup
Pickup Switching: 5-Position Blade: Position 1. Bridge Pickup, Position 2. Bridge and Middle Pickup, Position 3. Middle Pickup, Position 4. Middle and Neck Pickup, Position 5. Neck Pickup
Controls: Master Volume, Master Tone
Hardware
Hardware Finish: Nickel/Chrome
Bridge: Vintage Style Adjustable 6-Saddle Bridge with “Floating” Tremolo Tailpiece
String Nut: Synthetic Bone
Switch Tips: Aged White Switch Tip
Tremolo Arm Handle: Vintage Jazzmaster® Tremolo Arm
Miscellaneous
Strings: Ernie Ball® 2220 Power Slinky (.011-.048 Gauges)












