On Cragislist in Phoenix there are 3 comparable Buick Park Aves. 2 2001's and a 1997. They are priced at $4750, $3000 and $6850. That averages out to $4850. That's what I'd ask for as value.
Like the AZ ADC says in what I posted above:
"Such cost may be determined
by:
i. The cost of a comparable automobile in the
local market area when a comparable automobile
is available in the local market area."
Can't hurt to try. And your chances are better in AZ than say, the midwest or northeast, where most of those cars have rusted into oblivion.