I always hang my deer with a 5 gallon bucket underneath it. Usually there is not enough blood to cover the bottom of the bucket. So if you are having issues with your deer there might have been some other issues with processing or butchering.
Is there an ordinance that says you can't hang deer in town. My folks live right on US 40 in Indiana and have a neighbor that processes deer. It is not uncommon for him to have 15 to 20 deer at a time hanging from his trees right down town. He uses the trees instead of the coolers if the weather is right.