I've been pulling straight up and rocking with zero success. Any help appreciated.
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Handles can need equal prying 9-3 o clock, 6-12 o clock, etc. for the base same basic thing (after removing the four screws, handles, lights).
Check for evidence of soda/coffee/juice spills. Water will losen sugars best; it will dry 
(make sure if it though) But never use window cleaner as it crystallizes sugars more than it disolves them.
Look for it hanging up on the terminal post mounting too, thats very likely. A drop of plastic safe lube and short soak may help those slides.
Metal is prone to chipping out plastics. Wrapping contact areas in cloth or tape helps tons when prying, necessary if your apllying shock via blows from a hammer etc. (needs a rubber/leather "dead blow" really)
Wood works well for light prying. Some neat tools for this kinda prying is also an all plastic trim tool kit at automotive stores.
It does come off when handles, lights, and 4 screws are gone.
Adriatic hit it right on the head....I use the plastic trim tools you can get at any auto parts store....working around in a circle, prying just a wee bit as you go....
another thought too, if for whatever reason somebody before you glued it down, you will have a heck of a time trying to get it off......if you wind up having to bust it to get it off, reproduction handles are available from Jeff at The Train Tender
