The primary differences between the two cards:
Intel: Established, reliable brand with stable drivers and a product that works.
Bigfoot: Expensive, unreliable, relatively unproven drivers. Onboard CPU that is supposed to improve performance by doing all network processing directly on the card. Unless your laptop CPU is horrible (in which case you don't want to use it for gaming anyway) you'll never see a difference except in your wallet/bank account. In addition, the Killer N-1103 is apparently a discontinued product as no reliable retailer I have checked has it available.
edit: The one thing that might actually make a difference is the wireless router you are using. If you don't have a 5Ghz AC router, then the Bigfoot might be a better choice since it is a B/G/N and supports 2.4Ghz and 5Ghz frequencies.