I found a laptop that should meet your needs. It has an i7 4700MQ, Geforce GTX 880m with 8gb GDDR5, and you can stick at least 16 gb of RAM in there without breaking your budget. Though you said that weight does not matter, this laptop is huge at over 2 inches thick and 7.7 lbs, so keep that in mind.
https
/www.powernotebooks.com/configure.php?special=1708