Dude, let me tell you something. If you're going to buy a USED tape deck, don't take anything that's newer than 1995. That was the year in which many good technologies in tape decks have vanished. Take Technics, for instance: the 727 model, and the 626, before it, were extraordinary machines. So Technics followed with A5, A6 and A7, only the latter being slose to 727 (but not as good) - at almost double the price. The only exception, as far as technology was concerned, was the "swansong" represented by the Digital recording cleanup capability in the Pioneer 606 decks...
IMHO, you should check out one of the older AKAI decks... A Denon, a Pioneer, a Kenwood, perhaps you can even find a used Nakamichi - which is the absolute best in casette decks, bar none. As a general rule, stay away from Sony, they have the nasty habit of being quirky with tapes not recorded on other Sony machines.
Also - very important! - DON'T buy a double casette deck, they are invariably of lower quality than regular (single) tape decks. Besides which, you probably won't record anything, anymore, on tape, so why bother with a double ???
Go around town: sometimes you find extraordinary stuff - and dirt cheap ! - in mom-and-pop stereo shops, or repair centres. Ask them what they think the best brands/models are. Heck, even in pawnshops you ocasionally discover hidden gems.
I FOUND on the street (!) two years ago one of those older tape decks: when I looked at the model specks on the 'net, I was blown away: the frequency range is like 30 Hz-21.000 Hz on Metal tape and up to 18.000 for Normal tape... It will blow that JVC out of the water - look at the frequency response for Metal (!) for the 354
here. - can you imagine that Normal will be up to 12.000 Hz ???