I dont have any experience buying fightsticks from AliExpress, but I highly doubt that you can find a quality one for less than 50$.
If anyone has any good suggestions I would be interested as well. From personal experience, if you buy cheap fightsticks they just suck.
Did a quick browse of Ali Express's Fight/Arcade sticks and everything under 100$ looks like junk.
It may be easier if you only want something to play MAME with, idk if you have any interest in using it for PS3/PS4 as well. I recently discovered that my PS3 MadCatz fightstick is not compatible with PS4 or PC. You can find fightsticks that are compatible with PS3/PS4/PC and thats a huge plus in my opinion.