Hi Fluff-- welcome to FT. All the advice above is very good. Kalkat has mentiones the only feasible lodging option that is close to EZE. However, if you are up to discover the city at least for a few hours, GUWonders tip to use the bus service and get into the city is an excellent one. It seems like you should have enough time to walk around town and grab a nice meal before you head back to EZE to continue your journey.
Cheers,
Alex