  We study the transport properties for a family of geometrically frustrated
models on the triangular lattice with an interaction scale far exceeding the
single-particle bandwidth. Starting from the interaction-only limit, which can
be solved exactly, we analyze the transport and thermodynamic behavior as a
function of filling and temperature at the leading non-trivial order in the
single-particle hopping. Over a broad range of intermediate temperatures, we
find evidence of a dc resistivity scaling linearly with temperature and with
typical values far exceeding the quantum of resistance, $h/e^2$. At a sequence
of commensurate fillings, the bad-metallic regime eventually crosses over into
interaction induced insulating phases in the limit of low temperatures. We
discuss the relevance of our results to experiments in cold-atom and moir\'e
heterostructure based platforms.
