Negative. ATC started to give closest and pilot stated flatly that they wanted Philly which de-railed the ATC "help" they were about to get. You can hear the controller stumble over the response and then accept it... his training says aircraft gets to choose... aircraft just chose... so no point in continuing to offer other locations unless they appear to be descending too fast to make it to PHL. Even then, it would have only been a suggestion after the announcement they were going to PHL. Part of the problem is the controller and the aircraft "doubled" right at that juncture, you can hear it in the recording... controller offering ideas right when the emergency aircraft was unkeyed, and both transmitted at the same time, as I recall from listening to it.
(The fact that ATC comm still isn't full-duplex in 2018 is a contributor to a number of mis-communications in accident CVR recordings, but is rarely listed by NTSB as a suggestion for FAA to fix... it'd be expensive and problematic at best... we're stuck with single frequency AM radios in aviation "forever" for our "real-time" comm, I suspect. It'll never die. Data link works to suck up the clearance delivery and en-route clearances over a long haul future view, but approach and emergencies are going to be mash-to-mumble and AM single-frequency until long after I'm dead.)
It's pretty clear from the recording that the cockpit wasn't notified of the injury or seriousness of it until they were already on a 20 mile final for PHL, way too late to make any different decision. That's when they started asking for the ambulances to meet the aircraft.
Up until that point they thought they had lost an engine, had damage to the aircraft, minor injuries assumed, and were treating it as a possible aircraft controllability problem on arrival, so choosing an SWA base made sense... especially if they didn't have official landing data for other airports in the area... lowers workload... better options for pax that need to make connections... more company staff around to handle the mob... etc etc etc.
The CVR will make it clearer once it's published, including the decision-making happening up front, but that's my take on it, after listening to the ATC recording.