Go for it! Oh, you want more detailed advice? I own one anonymous (I forget the builder and it is not signed) electric 3-string fretless CBG with 26-inch scale I tune GBg. It is okay but I do not play it much.
I scheme to build somewhat similar 'uke-like objects but with significant differences: non-electric (probably) and resonator bodies -- my hollow yardstick necks bolted to ham cans like the Konablaster is modeled on. Steel-string and fretless, but with fret markings for *some* fingering guidance. Fretless banjo-'ukes built on tambourines may also emerge once I get my workshop together. Some may be 3-stringers, some 4. Some may be setup essentially as dulcimer-like strumsticks.
Another of my schemes involves finding or fabricating a thin 3D rectangle (maybe a wood or metal candy box?) and attaching two fretted 'uke necks to the long side. Why? My soft nylon briefcase (16 x 12 x 6+ inches) does not *quite* hold even one soprano 'uke. I can custom-build that twin candy-box axe for multiple 'ukes in one bag!
Other folks here own and/or build cigar-box 'ukes and I think those are mostly electric -- just about a necessity given a commercial cigar box's limited acoustic properties. Some include built-in amp and speaker(s). I have a couple of old cigarette-pack amp+speaker gadgets that perfectly support a cigar-box axe, eh?
Those are some of my ideas. Like I said, go for it! Probably fretless and electric. If you want to slide over frets, keep the action high.