I don't understand how you tuned your baritone "GCEA an octave lower than tenor ukulele." What did you use for the low CEA?
But I'm an old guy, and I get confused easily.
ld:
Back around end of 2013 or start of 2014 when Rick Turner was still actively posting here on UU, there were about a half dozen threads discussing string choices for an 'octave uke'. i.e., ~baritone scale with linear GCEA tuning, as in G2-C3-E3-A3, and IIRC the strings most folks favored were the extra hard tension Savarez classical guitar strings, silverplated copper wound strings, as in the EADG strings from one of the 'RED CARD' or 'GOLD CARD' Savarez classical guitar string sets.
I was able to work out a re-entrant octave uke setup using the Thomastik-Infeld chrome flatwound strings as per below, and had the minstalled on a 20" scale baritone for a while:
G3 - 0.027" -Thomastik-Infled string # CF27
C3 - 0.035" -Thomastik-Infled string # CF35
E3 - 0.030" -Thomastik-Infled string # CF30
A3 - 0.027" -Thomastik-Infled string # CF27
I TRIED linear tuning, but the only string thicker that T-I makes is the CF45, 0.045", and tuned to a G2 note was floppy, had a tubby sound and did not intonate well, likely due to only having about 8lbs of string tension, when ideally you'd need at least 11-12 lbs of string tension for that note, and by not intonate well, I mean that even at the 1st and 12th fret it was 20 cents sharp, which to my ears is completely unusable.
Hope this helps.