Look at a set of double set, double throw triggers. The double set, single throw trigger could be made identically, except for not having the tripping blade on the front trigger, could it not? It would then act exactly like any double set, single throw, except the hammer could be cocked before setting the trigger. The cock could then be let down, by holding the cock and pushing forward on the rear trigger, seems to me, instead of having to set the trigger, then firing and catching the cock.