A "humane solution" means finding a kind and compassionate way to solve a problem or address a situation without causing harm or suffering. Full definition
We are a nation of animal lovers who want humane solutions for cats. (alleycat.org)
While this may seem like the most humane solution, it actually puts you and your cat in danger. (cattime.com)
And why humane solutions not only provide positive benefits to the tourism industry and local economy, but also benefit the overall economic and health of these communities. (petliferadio.com)