  Finding the Kitaev spin liquid in candidate materials involves understanding
the entire phase diagram, including other allowed interactions. One of these
interactions, called the Gamma ($\Gamma$) interaction, causes magnetic
frustration and its interplay with the Kitaev ($K$) interaction is crucial to
comprehend Kitaev materials. Due to the complexity of the combined $K\Gamma$
model, quasi-one dimensional models have been investigated. While several
disordered phases are found in the 2-leg ladder, the nature of the phases are
yet to be determined. Here we focus on the disordered phase near the
antiferromagnetic $\Gamma$ limit (denoted by A$\Gamma$ phase) next to the
ferromagnetic Kitaev phase. We report a distinct non-local string order
parameter characterizing the A$\Gamma$ phase, different from the string order
parameter in the Kitaev phase. This string order parameter becomes evident only
after two unitary transformation, referred to as a twice hidden string order
parameter. The related entanglement spectrum, edge states, magnetic field
responses, and the symmetry protecting the phase are presented, and its
relevance to the two-dimensional Kitaev materials is discussed. Two newly
identified disordered phases in the phase diagram of $K\Gamma$ ladder is also
reported.
