I'm sorry to tell you that at your price range, you will not be able to find a hot-swap bay. Hot-swap bays are usually on cases over 100$.
You can find cases with decent cable management but you will not find GREAT cable management for your price.
There are decent cases for 60$ but you can't really be picky at that price range.
I have the 300R and it's a brilliant case, great cooling, space and cable management. The hotswap bays are internal but are very good. A case at the price you're looking for with external hotswap bays is impossible to find.
The 300R for $80 is brilliant, I paid £70 for mine and was worth every penny.