Since it's a clone of the HPStream 7 (apparently), I've plumped for this case :
http://www.amazon.co.uk/Smart-Cover-Str ... B00PVZSC8Q
Looks very similar to the official HP cover, it's not too pricey and it looks like it'll provide a little better protection that the generic mass of cases on Amazon/Ebay. It's "fulfilled by Amazon" meaning it's in their warehouse so it shouldn't require the weeks long waits of generic Chinese manufacturers too.
Has the hard plastic protection on the corners too as most smashing of phones/tablets are caused by them dropping on their corner, a lot of cases don't protect this area making it no safer than having no case on at all.
Here's a review of it on YT:
I'm still waiting for delivery of my Lynx 7 so hopefully they'll come in at the same time and I can let you know if it's any good. I might look at putting a bit more foam padding on the inside of the case to protect the screen.