Ages ago, it was not uncommon to attempt to clean up methanol using alumina. My recollection was that it was a lot of work with little improvement. If I were to want to try though that's where I'd start. The flip-side is the time it will take to attempt to manually clean up the methanol versus the cost of the methanol. You may also end up needing to dispose of the alumina as a hazardous waste or "treat" it prior to disposal by driving off the methanol (drying it in a hood).
If you're in an environmental lab, one of your largest costs is simply labor. You need to be cautious of implementing protocols that may save a little money in lab supply costs but cost you more in labor.