How come no one's put a T-Bucket body on the back of a front engine dragster yet, or have they?

I've seen bantams and fiat bodies, but no t-buckets. Is it possible? I'm going to build a t-bucket (in some form) and thought this might be cool. I am wondering if anyone's seen this done before. I'd like to see a picture of it and/or talk to someone who's "been there, done that".

I originally wanted to make a streetable front engine dragster. The reason for the t-bucket body is so I can take my wife or kids with me on cruises.

The radiator can lay inconspicuously between the front rails, thus keeping the front engine dragster "look" as much as possible. The battery can go under the seat and a moon tank between the front wheels. I'm hoping to hide some small projector style headlights somewhere. The rear will be leaf sprung w/ gas shocks, front - solid axle with friction shocks.

What do you think, is it doable? What's the minimum length drive shaft I should use?