I actually disagree as to whether this is possible and what impact scale length has, I've tuned baritones with 27" scale lengths that low and it worked (barely)and Warmoth's is even longer. Scale length has as much to do with tension and pitch as string gauge, the same gauge of string at the same tension will be a lower note when made longer - hence the long scale on bass guitars. I wouldn't call this a baritone guitar though, it would just be an extra short scale bass with really close string spacing!
You would be looking at some interesting gauges for strings though, and definitely at assembling your own “custom” sets. Look at how thick a bass guitar’s need to be, and they have several extra inches than a baritone. As such, to achieve the same tension as a bass, you'd have to go WAY thicker. Even if you did something crazy like an 85 for your low string, that would still flop around pretty good at a low E note. You're looking at using really bloody thick strings, and some insane nut/bridge/tuner modifications to allow for such thick strings.