The antivenom is no longer being tested for brown recluse spider bites at Vanderbilt. The venom is a an enzyme, lysophospholipase D, that does not function when cooled.
Ice probably works better than anything for early bites.
For necrotic bites, dapsone has been and continues to be used despite double blinded studies. In chronic bites, anti-neutrophil therapy is used. Generally a combination of multiple therapies. LLoyd King has suggested that the Brown Recluse Spider may be as close as the nearest item of airline baggage regardless of its geographic destination. With the recent exchanges regarding Recluse Spider bites, this bit of info seems apropos.