GBDA tuning
This is a scordatura tuning I first used in A. P. Drove Me to Tears. The idea is to have a major triad available on the lower strings while keeping a known pitch on the chanterelle—just to facilitate writing and reading.
You can easily adapt your low G ukulele to this tuning, just retune your second string down to D and the third one to B. This won’t damage your instrument nor your strings.