There's a flaw in the idea of trimming every 6 weeks. If you go barefoot and will need hoof boots that will fit well enough to ride, you will need to maintain the trim more frequently. If you want boots that don't pop off every time you want to ride above a walk, the hoof needs to stay the same size. If you wait 6 weeks, you will most likely need 2 pairs of boots. Also, most farriers charge more for the trim than the shoes, so you might not be saving as much money as you think considering the cost of purchasing hoof boots. If you are unlucky enough to have a farrier who doesn't trim well, it will create far more problems barefoot than with a shoe on.
Transitioning to barefoot is entirely different from horse to horse. You can do all the right things and still end up with an ouchy horse. I tried for a full year and ended up back in shoes. You will need to learn how to do touch up trims, have the time to hand walk your horse daily on hard surfaces to help him acclimate his feet, apply hoof boots as needed, and possibly have to modify his turnout area in case he is ouchy there too. There will be times when you cannot ride because the soles have shed and the new ones need time to toughen up. Rainy weather can bring out sensitivity. If you're like me, you will spend most of your rides looking for hoof boots you lost on other rides. I like the idea of barefoot, but it certainly did not work for me. I spent more money, not less.
You just have to see your distance...you don't have to like it.