Circle K Strings have .112 and .118 sets:
Circle K Strings - Standard Balanced 6 Strings
These are 'balanced': equal tension strings. So a .118 B is the same scientific tension as a .090 E.
Tension chart here:
http://circlekstrings.com/CKSIMAGES/...nsionChart.pdf
I wouldn't go lighter than a .112 B at 27 pounds, below that tension i find big strings start to lose their excellent tone and become excessively floppy.
They also do sets with a.051 as the lowest string ... light enough?

CK strings are nickelplated steel outer wrap around steel inner wraps, top loading bridges only due to short tapered section.