You'd be doing it more favors to kill it. A quick death is better than a prolonged one. Just my opinion.
Live Trapping
Although live trapping and relocating has been widely used as a method of wildlife control, it can be inhumane as the animals may suffer severe injury and sometimes death in their attempts to escape. It is not a long-term solution. Most wild animals are territorial, so relocating them somewhere else will not only fail to solve local problems, but often creates new problems at the release site by upsetting the natural balance of existing populations. The resident raccoons may attack and sometimes kill relocated raccoons to defend their territory. Studies done by the Ontario Ministry of Natural Resources have shown that 60% of relocated raccoons do not survive. Relocation also facilitates the spread of disease from one area to another.
From the Portland Humane Society:
Relocation is inhumane: Although many people perceive relocation as a humane approach to resolving conflicts, it is in fact just the opposite. Relocated raccoons have to fight with already established raccoons for territory, food and shelter. Many raccoons do not survive relocation and those that do disrupt already established populations. Relocated raccoon kits are almost always abandoned as it is near impossible for a mother to carry and care for her young while also establishing herself in a new territory.