It goes via Guayaquil. Back when 727s flew this route, they did not have enough range to fly to the Galapagos nonstop from UIO
because of the extreme penalties involved with an airport almost at 10,000ft. It was only a 700 mile flight, but the 727s had severly limited range. I don't know if the A320s could make the route nonstop, but I presume that they would be able to since 737NGs fly similar length routes.
I flew this route in 1999 and Baltra has the most nonexistant airport that I have ever been to. It is pretty much a national park service booth for arrivals and a tiny waiting area along with people selling things.
Tame might be one of the more dangerous airlines in the world, but the service was actually pretty good if you could speak Spanish. They served a meal on the flight.
If you have never designed an airplane part before, let the real designers do the work!