I'm not sure which type of gloves you use but here is a recommendation I have learned from lab work and wearing gloves daily.

Nitrile gloves last longer and are more durable than latex. Also what usually degrades the gloves is oxidation (exposure to air). If you can vacuum seal your gloves or put them in a ziploc and remove as much air as possible. As a caveat to the plastic wrap be sure the gloves can still quickly be removed in an emergency situation.

Nitrile gloves wrapped air tight in plastic tend to last dramatically longer (several years). In my experience Latex gloves exposed to air break down the fastest and have about a 3 month or less reliable shelf life. Also Latex can give some folks a rash after use.

Cheers and great job on the rescue! You inspire us all!
~Logan.