Keep in mind that you don't have to stop. It says approaches, you don't have to land all three.
Practically you'll probably have to land two of them, one for fuel, and one at home, but depends on your butt hurtin' and if you've got really big fuel tanks and a oversized human bladder or relief options.
Jesse and I used that ability to fly an approach at Jabara in Wichita and make sure the ICT approach controller did NOT cancel IFR, went missed, and then did a IFR Visual into Stearman so we could go have dinner with Tony and Leah.
Controller was chuckling at us that we wanted a true Visual to Stearman after the missed on a severe clear night, and that we'd have to cancel on the ground after landing via radio if it would work, or phone (they weren't sure, so they gave us a phone number). Radio ended up working barely.
I had so many other approaches that week, it didn't matter... As long as there were three approaches on that trip down and back, I didn't need another approach for more practice. We bombed all over three or four States for days shooting stuff.
Plus I think honestly it was my first ever true IFR Visual, which gave me a bit of experience for that in the real world, since that's often what a generally fair weather pilot like myself will really get on the far end... The sequencing is just slightly different than a regular VFR arrival, and making sure to pick up weather and what not, in the right order, was worth doing it. Plus the two airports are so close together it was a good exercise in a quick change of plan... Missed, hood stays down, vectors to Stearman while running the climb, cruise, and arrival/landing checklists all in a fairly short timeframe... All a semi-realistic possibility in the real world also.
(Well the weather being bad enough at one to go missed while open for a visual at the other probably isn't all that realistic, but anyway...)
Look on your original "three stop" plans and see if there's a couple of airports near each other with approaches you can fly into each. Go missed at the one you don't want to land at. Have CFI prepped to explain to the controllers what's up, and try not to arrive at their busiest time of day.