Right, but why do you need a bath to get that result? You can derive scattering rates from Fermi's Golden Rule without reference to a bath. For example, could you get the same result by considering a semiclassical perturbation with a random phase?
I always see the contribution of semiclassical scattering to the Bloch equations for a two-level system justified heuristically, using Fermi's Golden Rule to calculate the scattering rates. The resulting time evolution of the density matrix is clearly in the Lindblad form, but is it possible to...