Miami Beach Dump Eligibility

I'm moving when my lease is up at the end of the month and have a decent handful of small appliances and items of similar size to get rid of. Having done some research, it seems like the county operates dump facilities, but only residents of certain locations are eligible, those being:

Only residential waste fee customers who reside in unincorporated Miami-Dade County and the cities of Aventura, Cutler Bay, Doral, Miami Gardens, Miami Lakes, Opa-locka, Palmetto Bay, Pinecrest, Sunny Isles Beach and Sweetwater may use these facilities.

As a Miami Beach resident, where do I go to dump items like this? Am I just SOL?

Note that I'm not looking for services that haul it for me. I can take care of the labor and transportation.