Looking for a good Gaming laptop under $550 (other requirements listed under)?

Looking for laptops on Bestbuy (since they're the only PC store around where I live).

THINGS I'm looking for in a Laptop:
Looking for a laptop screen/lid that's able to bend back at a or angle
Laptop fan isn't loud when it's overheated. Also, doesn't get overheated when being held on my lap.
Fan doesn't easily get dust on it when being held on my lap, chair, couch, bed, or pillow.
Able to last 5-10 years.
Won't easily break just from being carried to places.
Webcam not required, but nice to have.
Laptop audio sounds loud/clear and doesn't fade when listening to music or watching a video.
NO preloaded bloatware
Laptop good for surfing the net (speed: fast), gaming (minecraft modding, COD, TF2, etc/other big and small games), listening to music, watching videos, and storage for saving files (music, videos, pictures, documents).
NO HP Products (had them in the past years, they were all terrible and didn't function well after just a couple of weeks).
Budget: $550 and Under
REQUIRED: ABOUT 3 USB PORTS (minimum-3, maximum 4)

SPECS: (image link of specs below)

Looking for a good Gaming laptop under 550 other requirements listed under

Added (1). If there are none under $550, I'll go for only a budget of $400-700.

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Lol under 550? Only way you can, is to build it yourself, other than that it's really nice to imagine cheap gaming computers, oh the world would be a better place for it