The only two tablets I've owned have been 7 inches. I think it is the right size for my needs. I mainly use my N7 for games and a bit of web browsing. My parents have an iPad and I think it is a bit big to carry around.
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Check out New Trent or Anker external batteries. I have a New Trent 12000mAh that I keep in my backpack. It fits in a case for a portable hard drive.
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This site has pictures of the Gen 2 cover. The knurling only goes about half way up but it's where you would naturally hold the tablet.
TPU Soft Gel Case Cover Pouch Shell Skin For Google Nexus 7 2 Gen FHD Tablet
Yeah, the shiny part is particularly grippy but the opaque areas are good also. The cover is knurled along the sides so it is very easy to hold one-handed. The fit is good, all the openings line up.