Probably your best bet at a low cost place that will have lots of ice people is the YMCA. It’s near the Art Center, Gardens, Museum and is right off the bus route to the Antarctic Center. It’s relatively low cost and is popular with the program.
A little more but still reasonable is the Windsor and the Devon. Thomas’s is nice but a step down in my opinion. It does however have a kitchen which makes it nice to keep your budget down. You get a small travel fund that should cover whatever medium cost place you decide to stay in.