So a while back I did some tests on adc nidalee (not the glass-cannon 3 bloodthirsters, cap tiger q, screw all else builds, but a standard adc build with focus on attack speed for her ranged autoattacks.) I liked the how the 60% attack speed boost on her heal could cap her attack speed, turning her into a machine gun. But I still wondered if there was a way to split the difference between ap and ad to make her heals and thrash nukes still viable. After doing some testing (and then buying whole sets of scaling ap glyphs, scaling mana regen seals, and movement speed quints JUST to try this out) I came up with a 500 ap, 272 ad, 65% crit build (yes, it's true).
First build (discussed in this post, others discussed later)
http://leaguecraft.com/lnk/V1H
Second build (4k cheaper, but reliant on ownage through SOTO and Mejai's)
http://leaguecraft.com/lnk/54H
Third build (Even cheaper. Sacrifice crit for spell vamp and nunu comboing (Got up to over 800 ap and 350 ad and 60% spell vamp with this one with stacked auras (as did nunu.) And our stacked heal/boil buffs came to roughly 1.9 attack speed. Base movement was roughly 430. Went to over 500 with boil and bush passive. Consider using triforce instead of hextech for spellblade.)
http://leaguecraft.com/lnk/v9H
I rely on my quints, phantom, and trinity force to substitute boots. The listed build only shows a 357 movement speed, but it's patch outdated, since it assumes a 310 base movement speed (which is stupid, and wrong. It's 355 base.) Just notice that the %move buff is 47, which is equivalent to tier 2 boots. For mana regen, I rely on seals and possibly Eleisa's Miracle, since it doesn't fill a slot if bought early enough.
Now, there's one overriding reason why this build isn't viable at all. No, it's not the complete lack of defenses (she's a dual carry. What do you expect?) It's the fact that it's FREAKIN' EXPENSIVE (20k gold), which only occurred to me after several games of not getting past double zeals, rabadon's, and hextech before my team either won or lost the game (I'd say it had about a 50/50 success rate. You get all the ap you need early on, and you trade defenses for turret killing with double zeals (which substitute boots early game). Nobody expects a nid backdoor. Honestly, the trade is probably on the bad side a bit, but you can manage.) There was game in 3s that was very long. In THAT case, I got it off, and yes, it was terrifying. Being able to range autoattack burst, tiger ad burst, tiger ap burst, spear toss burst, heal, life steal, and spell vamp (oh, and did you notice the spell blade and slow?) is pretty absurd. I mean it's really absurd. And still having 23 base mana regen + Eleisa's for a total of 38 mana regen is also absurd.
Even if it's cost is totally prohibitive, it's still worthy of note. I don't think I've seen anything quite as nasty as adpc nidalee (or anything that actually classifies as adpc. Hybrid carries don't count. They lean on one side or the other of the ap/ad fence depending on their builds.)
You can also consider exchanging either one of the hybrid items for something more defensive and still maintain a hefty amount of ap and ad with 55% crit.
Suggestions anyone (other than "don't do this ever"?) I mainly tried this in mid, since you'll need all the gold and exp you can get, but I have wanted to try it with nunu supp bot, just to stack our attack speed buffs. Also, with his move buff, you'll get away with bootlessness even more. I suspect his nom and my heal would get pretty freakin' annoying in bot.