  We introduce a class of links strictly containing quasi-alternating links for
which mod 2 reduced Khovanov homology is always thin. We compute the framed
instanton homology for double branched covers of such links. Aligning certain
dotted markings on a link with bundle data over the branched cover, we also
provide many computations of framed instanton homology in the presence of a
non-trivial real 3-plane bundle. We discuss evidence for a spectral sequence
from the twisted Khovanov homology of a link with mod 2 coefficients to the
framed instanton homology of the double branched cover. We also discuss the
relevant mod 4 gradings.
