You can put whatever strings you want on a tenor, but if you swap them around like you are thinking, it won't sound good. That C on the tenor 4th string is an octave below middle C. Tenor banjos are tuned in 5ths for unique voicings which work great for jazz chords (extended chords). I would love to learn Tenor banjo, but if I got one, I wouldn't be playing it like a Uke because it is a different instrument. When I get my ukulele next June, I will take my fake ukulele strings off my guitar and put some tenor guitar strings on it to practice using the CGDA tuning. There are great video tutorials by Tenor great
Eddie Davis on YouTube if you are interested in playing the tenor how it has been traditionally played since they started making them. Otherwise, why not just get a banjolele if you aren't willing to learn something new?