Seidio now has two models made specifically for the LTE GNex with the official extended battery (2100mah). I think it is the Surface and the Convert case, you can find those on their website.
I have been using the Cruzerlite Androidified A2 with the extended battery and that fits great. There have been some issues that the openings for the headphones or charging port are not big enough, but mine are fine. And since you can get them buy 2, get one free from Amazon, I got three cases for $20, can't beat that.
I actually believe this is the best soft case invented. I bought the translucent smoke case from amazon for $9.90 with an edge to edge screen protector+ free shipping. I found out that my idiot dad (i found mean but isn't) bought a case for $20 and a 3-pack of screen protectors (that suck) for $15. So, he saw mine and immediately loved it. Of course, he decided to buy one without consulting me first (told him never to do) and bought the matte black one. He was quite disappointed. Depending on what color you like, i would suggest choosing wisely, if you choose this case. And yes it does support the extended battery. The translucent smoke also blends in with the stock color of the phone. Good Luck.
I have a few cases now. I seem to be collecting. I tried the Diztronic and didn't like it. Gave it to my dad. I have the Verizon Silicon Case which is great but on the bulky side. I've tried the cheap s--cases and they don't fit the extended perfectly - almost.
I just today got the Cruzerlite in black - it fits perfectly with the extended and looks nice.
Ultimately I want a Bumper case but until then I may use the Cruzerlite since it seems to be made to fit the extended.
The stock battery cover over the extended battery is a tight fit. I would not do it without putting it in a case. I would be concerned that slight bumps would knock it loose but works great in the case.
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