Disclaimer: I'm by no means a professional scientist, and do not have any scientific backing for this idea, It's just pure creative speculation.
What if we could use a renewable gas lighter than air such as methane to raise objects, and then drop them onto some sort of friction plate to collect the kinetic energy from the fall?
Is this viable in your opinion? Would it be able to produce more energy per cubic foot than other uses for methane? Or is this a terrible idea?
Edit: useful calculator
http://hyperphysics.phy-astr.gsu.edu/hbase/flobj.html