We report the design of a short-wave infrared continuous-wave light source featuring a 20 mW average output power, and with a wavelength that can be freely selected in the 2000-2100 nm range amid a low power ripple. The operating principle relies on the simultaneous broadband parametric conversion of two seeds in a highly nonlinear silica fiber pumped in the L-band followed by amplification and equalization in an appended thulium- and holmium- doped fiber cascade directly pumped by their respective previous stage.