Petco.com has sales all the time. I think you may be hard pressed to find a good sized cage for $200. I know I had a hard time finding one in my budget. I got him one that is 32x23x64 for $350. Its coming from A&E cages, I had to order it through my local bird store but the pricing was great. That price even included drop shipping to my house. The cage he is in now was the one the original owners gave me, it is 24x24x60 and he seems a little cramped in it and the welds were breaking so I figured it was time to upsize anyway.
I know $$ is a big concern for people these days but if you can save up a little extra to get a nicer cage you won't be disappointed. I've owned cheap cages in the past and they just end up in the garbage when they rust, or welds break, or plastic breaks, etc.
Your bird won't waste the space if you give them enough to do