I guess I have to admit I'm a little confused: is there a reason why you're getting rid of a good IIe setup to replace it with "any of a II Plus/IIc/IIgs"? Here's my thoughts on the entirety of the Apple II line:
Original II: *Very* expensive these days, especially if you want one in original condition. (Original motherboard, integer ROMs, etc.) These are getting into that zone where they're sort of too valuable to play with, IE, only good for museum pieces.
Apple II Plus: Attractive primarily because it's technically the same machine as the original, and as it's the last II that's made out of generic 7400-series logic (IE, no ASICs other than PROMs) it has the advantage of being repairable by a skilled person without having to cannabalize another unit. Has a good retro feel and when equipped with a language card can run most Apple II software that doesn't specifically require IIe features, but can't really do anything that a IIe *can't*. (Other than run a small selection of software that barfs on IIe's.)
Apple IIe: If you want the Apple II that epitomizes the line get this one. It's the one everyone remembers, it has the largest software base, and it's common enough that you can have a complete system for well under the price of the others.
Apple IIc: Cute and almost 100% compatible with the IIe, but there's no technical reason to prefer it over the IIe. Get it because you specifically want "cute".
Apple IIgs: It's two computers in one: an Apple IIe with an extended memory card, and a quirky 16 bit computer with a neat sound chip, colorful (if somewhat awkwardly proportioned) graphics, and a sadly underclocked CPU. Whether it's "better" than a IIe really comes down to whether you care about that other computer or not.
In short, well, I can see why you might want to swap a IIe with *one* of the other systems, IE, you'd want a Plus because it's "more retro", a IIc because it's compact and pretty, or a IIgs because you want to play with GS software, but wanting to trade a IIe for *any* of them doesn't quite click. What are your priorities for the system? Do you want a pristine musuem piece to look at (which would be the justification for an in-box unit) and don't really care what it is, a "daily driver" system to play with, or do you want the system that's the most "historically significant"? A IIe does quite well in both the "daily driver" and "historically significant" categories; yes, it's dirt common and therefore "boring", but it being common also means it has a lot of nostalgia associated with it (most kids who had Apple II's in schools had Apple IIes, after all).
Specifically on the topic of "Woz" IIgs-es: note that the ROM 0/1 IIgs actually does have several hardware flaws. There are known issues with both the Mega II chip and the keyboard controller, neither of which can be repaired without a motherboard swap. (Or desoldering components from a unit with working chips and transferring them over) I have two "Woz"-es and only one works completely; I don't know how widespread these problems really are but it's my understanding that the keyboard controller thing is something that actually started cropping up when Apple was still making them. If you buy a "Woz" make sure it's been completely tested.