http
/www.pcgamer.com/new-geforce-gtx-965m-appears-in-msis-new-gaming-laptop/
Something like this is in your price range if you ever see a 10-15% off sale. i7 4720HQ are selected from the best performing silicon wafer segments and give you an extra 200MHZ and often cooler temperatures at lower clock speeds compared to the regular 4700HQ. That 200MHZ doesn't matter now as 3.4GHZ seems to be as much CPU power as you need, but at least you know it can hit 3.4GHZ at turbo speed without pushing its limit.
i7 4720HQ runs at 2.6GHZ stock speed to max 3.6GHZ turbo speed compared to 4700HQ at 2.4GHZ stock to max 3.4GHZ turbo.
Main difference between the MQ and the HQ series that you will notice is a marginally faster clocked integrated graphics card.