Neil has at least a dozen albums that could be considered classics, but I don't think many would say that 'hawks and doves' is one of them. But for the price I'd grab it anyway. That's not to say it's bad, it's all acoustic, pretty spare... but from where you're coming from I'd say, depending upon how much your taste leans toward rock, either 'harvest' or 'everybody knows this is nowhere'. Mainly b/c both will be easily available used on vinyl. 'harvest' isn't one of my favourites by him, but it's got some of his most popular tunes on it, and it's fairly mellow and country-ish. 'EKTIK' is a bit harder on some songs (it has his backing band Crazy Horse on it), and is all the way a great album. You may just want to try 'decade', I've seen that on vinyl pretty commonly lately. It's a good intro to NY. 'comes a time' might also suit your fancy, and is easily available used.
He's got a lot of albums. FYI, if you have a CD player with an HDCD decoder in it, all his newer albums ('mirror ball' onwards) were released in the HDCD format. As were the CD reissues of four older albums, including 'on the beach' which I'd highly recommend, although it's pretty dark and if you find it on vinyl you'll pay a hefty price.
For the record, my favourites are:
On The Beach
After The Goldrush
Broken Arrow
Sleeps with Angels (I found this on vinyl a while ago, but haven't seen it much).
This probably didn't help much. Like I said, he's got tons of albums.