Will this frame work? motor suggestions?

Sure. Three electric hub motors would work. You could even come up with a way to use differential power to steer it.
Personally I'd rather see it with a skin :)

Tom
 
Definitely a candidate for a rack mount engine over the rear wheel. You will need to steer with the rear as well.
 
Just dangle a stick with a live Chihuahua in front of it and you won't need a motor.
 
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