I need to know some good iPhone 5 cases

So I'm looking for a good iPhone 5 case. Here are a few 'wishlist' items.

1) Comes with a screen protector, if possible. Not a priority honestly, the cost and protection is more important. I can buy the screen protector separately.
2) Not expensive, around $10-25. If the original site doesn't sell it for that cheap, maybe Amazon could help?
3) Grippy phone case if possible please. I literally am 100% sure I'll drop it a million times.
4) Good protection is vital. I don't want to shatter any part of my new iPhone. I've seen so many phones shatter, it scares me honestly.

I've done a little research and found the OtterBox and Speck cases to be top choice, preferably the OtterBox Defender series and the Speck CandyShell Grip. They're both pretty expensive, as I need to buy two(one for myself, one for my mom). I've looked at Amazon, and it's not exactly cheap either, just cheaper than the original site.

Please, I need good cases suggestions. If the case you want to tell me about doesn't fit the requirements, tell me anyways. I really need to know some good brands and put some research into it. Thanks!

By the way, I really don't care about the looks as long as it looks decent enough.

Added (1). For those who is saying my price range doesn't cover the good cases, I know that. I did mention at the bottom that if you have suggestions on good cases, but it doesn't fit my needs, just list it anyways. I really appreciate your help.

And when I say $10-25 budget, I don't mean both phones for that amount. I mean per case.

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I charged my phone fully a few hours ago I haven't used it at all and my battery went from 75% to 29% in the space of an hour.

I downloaded the new software the other day it took about 2 hours and so far its been fine but when I took my phone out of the leather case it was baking hot its never been like this before and now I have it on charge the side is getting hot and I'm really getting upset and worried. I LOVE my iphone for so many reasons I paid for it myself it cost me £699 and this phone is my baby and I love it so much I would feel lost without it even for 2 hours.

is anybody else having these problems over heating and battery dying quicker than normal if so what are you doing to help your phone?

Please let me know as soon as possible

Thanks.

Added (1). Don't you guys think its ridiclous? I'm so annoyed and just got so worried you know £699 is ALOT of money well to me I was jobless from Nov 2011 to a month ago and got inhertiance from my parents which paid for this phone I love it because its a fantastic phone I wouldnt give it up for the world and how do I go back to the old software? I'm going to call them and have such a go at them my phone over heating scared the crap outta me