That’s great advice. Ask your local or home orthodontist, to see if they use the same system and can manage the adjustments since it’s a lengthy treatment. We did just this before our 3 month trip to Brazil in 2008.
These were braces for an adult, and locally (NH , USA) they wanted more than 5,000 USD for the old braces system that would need constant tightenings, plus they wanted to widen the pallet and remove a few teeth to make it work easier, prognosis was a 2 - 3 year treatment. We thought that was silly, and prohibitively expensive.
We did research and checked many orthos to compare costs and options, and we wanted to do the then new Damon braces system, which seems like the sliding guide wire, and quick gates, allowed for a swap of the wire (no tightening) and the teeth adjusted along the wire, for less demanding after care. It’s quicker for maintenance and also duration of treatment was shorter, but only a few places in and around Boston were doing it then.
Long story short, it’s possible to do. In 2008 in Brazil we got tops and bottom braces for an adult, the Damon system, for R$1100 (about $500 USD). From what our local Brazilian friend said, this was the complete cost, should we have stayed in Brazil for the duration of the treatment. Coming back to the US, it cost us an additional $1900 USD for 9 check-ups (new wires or adjustments) + top and bottom retainers, and lifetime checkups/adjustments. Overall spend was $2400, and it took 1.5 years for perfectly straightened teeth.
All that being said, we had to find the “right” Brazilian Ortho to do the work. The first one we met, called his ortho buddy in the US to ask what he should charge, and offered us no savings. We simply went to the next ortho, who gave us the Brazilian rate. It helped that we had a local friend who was able to handle everything in Brazilian so it wasn’t being “gringo” taxed. It was a great experience and we’d recommend it and do it again should we have the need.
I think there is a term for this, medical tourism, and many people do it.
Good luck, let us know how it turns out for you.