What Starr program are you doing that doesn't already include cleans? From what I recall, his basic routine focused on the squat, bench press, and power clean.
Technically-speaking, if you squat after the clean, it's no longer a "power clean." In any case, I'd stick with the power clean without the "added" front squat, as long as you are squatting somewhere in your program. Focus on the explosion of the clean, not necessarily the squat recovery.