I got a good pernambuco German bow form Yitamusic for a little more than your Budget, but they have lots of bows in your budget, find them in EBay....they got also CB bows
Also there is lots of good Carbon fibers bows like finale bows... (there are a lot of good reviews about this bow, my teacher said nooooo CB bows Lol and I listened)
More or less let us know what is that you are looking for Wood (what type)???, CB...???
One thing that I find out its that about 80% of new bows are being making now in China, even the ones sale by local stores...
If you dont know anything about bows finding the right one can be overwhelming...
By the way I am a beginner so Dont take my advise too seriously