As a followup, I was able to find picanha... right here in Naperville. Ellie's Deli is a deli / grocery that features Brazilian (and Polish) items. I was able to pick up 2 3-lb. picanhas as well as
farofa and
coxinha for the BBQ, and a
Guarana for the ride home. The nice lady behind the deli counter and working the register asked if I were Brazilian based on my purchase, so I guess my selection was pretty spot on. I tried to remember everything I ate in Sao Paulo when I visited for a week on business, but dinners often included
caipirinhas, so my memory was somewhat hazy...
And here is the prize. Note that the fat cap was almost obscene at 3/4 in. thick. I cut a cross-hatch pattern in the fat to make sure it crisped up.

Each slab was cut into two-inch wide slabs and bent into a C-shape on a spit, fat side out, and then simply seasoned with kosher salt.

These were sizeable hunks of meat, so I opted to use the
Serious Eats method of grilling steak. They were started over indirect heat on a lump charcoal grill until they reached 115 F...

... and then seared over direct heat (Weber grills with lump get HOT) until 125 F and crusty.

The picanha turned out really well. They were very juicy and flavorful thanks to the thick fat cap. I was worried that the cut would be tough based on the comments above, and while it's no tenderloin, I prefer more chew anyways. And the tradeoff for beefy flavor was more than worth it.
Aside from the steak and items I mentioned above, guests also brought other Brazilian dishes including
pão de queijo , heart of palm ceviche, and caipirinhas. Overall a successful Brazilian-themed Memorial Day BBQ!
Ellie's Deli4003 Plainfield-Naperville Rd.
Suite 111
Naperville
mike
Stickin' together is what good waffles do!