Wi-Fi solution for network storage?
Texas Instruments provides other solutions for high speed WiFi. WiFi solutions is really divided into two main camps:

1) The fully integrated solution such as CC3000 that offloads microcontroller but can achieve typically 5Mbps

2) The WiFi chipset where you need to provide a processor and connect it to a WiFi chipset, connects to a high speed processor and can achieve tens of Mbps.

Seems you need #2 because solution #1 is limited. TI has the WiLink8 which can achieve 60Mbps+, but you will need a processor such as their AM335x to run linux to use it. This is the same case as Broadcom, Marvell, etc. However, TI provides a lot of public information and ready made kits that have WiFi running out of the box.

TI's WiFi also has Bluetooth enabled in the Linux and in the chipset itself.

Take a look at TI's Getting Started for WiLink 8

BTW, if you are a company developing a product, I highly recommend contacting TI's sales. They can help you find the right solution.