Small turbines are inherently inefficient so you are unlikely to see them in
this power range. The fuel consumption might be double that of a diesel.

It's not true, first off. Although bigger engines have advantages of
Reynolds numbers and such, small and large are relative terms. The
relationship of BSFC of heavy diesels and industrial gas turbines in
steady state peak operation is pretty constant across engines from the
size of an 855 cid Cummins to the really big guys with four foot
bores. The turbocharged diesels are somewhat more efficient but
nowhere near 2:1.

The "secret" of linearizing gas turbine performance across a wide
range of output power is thermal feedback, or regeneration. Look
carefully at the real progenitor of the Cruise Missile turbojet...