Greetings and welcome to TalkBass, Fish!
You could do far worse than getting yourself an Aerodyne…any Aerodyne, for that matter. I won't say
"upgrade" because I've encountered a few Squier Affinities that punch way above their price-tag.
(I, for one, am a firm believer in cherishing any bass that works for someone ergonomically and sonically regardless of the decal on the headstock or country of origin.)
With that in mind, could you go into more detail about your hands-on Aerodyne experience? Aside from it being Jazz shaped, what was it about it's
"feel" that worked and didn't work for you? Was it more of a
"sound" thing that did/did not grab you or is it really just an
"I want something Precision shaped…'cuz reasons!" sorta thing? If the latter, I totally get it.
"Looks" can important, especially when it stokes one's enthusiasm to pick it up and whale away at it.
Ultimately, if an Aerodyne Precision turns out to be too difficult to find, or prohibitively expensive, and you know an Export Edition Jazz will work for you, I'd say go for it. There are plenty of string and/or pickup options available that can bring one that much closer to the sound you're chasing, and all for a fraction of what it would cost to get a Precision 'Dyne.
(Then again, you might luck out and find one that's already on local soil, wherever that may be for you. Who knows?)