You can launch the lander first, park it in lunar orbit, then launch the crew on a second Falcon Heavy, each having 38% of an Apollo worth of mass. With a little more creativity, you can launch the ascent vehicle on another Falcon Heavy and land it before the other two so that astronauts can rest assured that, unless they kill themselves during the landing, there is a ride back up waiting for them.
With that you can have 3 separate chronograms and each mission is simplified in relation to a single Apollo.
If you are unhappy with the mass budget, you can launch yet another series of missions with supplies and equipment to be landed before the ascent vehicles are landed. And, since in this case whatever lands doesn't even need to be pressurized, or delicate, landing it should be much easier too.
Now we are at 1.52 Apollo masses per mission. It took 4 launches to get there but, still, it's a lot of stuff for our astronauts to work with. Also, if any one launch fails, you can always try again.