I would restring to Low-G on your Baritone uke. Fremont make one, clear fluorocarbon, it's 0.036" dia. and it works almost as good as a wound low-G.

All my ukes, Tenor, Sopranino, Baritone, Super Tenor, all have low-G. Coming from guitar it is comfortable for me since I both strum and pick (PIMA). The Sopranino has a steel string low-G wound string, the C string is a regular uke G string. Works a charm, what a hoot!