Debian Installer Rejects WLAN0

So, I'm trying to install Debian Wheezy on my shiny new Dell Inspiron 17.
I resize a partition for Linux, then I load necessary firmware onto a FAT32 flash drive.
Then I disable "Boot Securely" option in the BIOS, and run the installer via the local HDD.

It runs smoothly until I attempt to detect network hardware. It seems to detect eth0, but now wlan0 for some reason, and that's screwing me up. I tried using a different firmware, and even using a USB adapter with respective firmware, but nothing works. It only ever tries to use eth0, which doesn't work for me.

Can somebody with experience help me with this?

Spoiler: System Specs

Manufacturer: Dell
Model: Inspiron 3271 (a.k.a. Inspiron 17)
Processor: Intel Core i3-3227U (1.90 GHz) Quad-Core
Architecture: amd64 (64-bit)
RAM: 4GB
Integrated Network Card: Dell Wireless 1705 802.11b/g/n
USB Network Adapter: TL-WN722N
Pre-Loaded OS: Windows 7 Home Premium SP1

Spoiler: Partitions

MAIN DISK (C:\):
39 MB - OEM
21.67 GB - RECOVERY - NTFS
249.32 GB - OS - NTFS
194.74 - Unallocated (Reserved for Debian)

FLASH DRIVE (F:\):
1.87 GB - Storage - FAT32