Question What wireless PCIe card will fit?

[Scott A C]

I have an USFF desktop, a Fujitsu C720. The motherboard is Fujitsu's own D3224. I can't use wired ethernet and I would rather keep my USB ports free, so I'd like to use the (single available) PCIe 3 x16 port and install a wireless card. I have only about 70mm clearance from the top of the port on the MB to the top of the case. Do I need a low-profile card, a half-height card, or a card which adapts a mini-PCIe wireless card?
I don't need the fastest data rate but something which could handle streaming video would be nice.
I would be grateful for any help as I haven't done this kind of upgrade before.

 

[Karadjgne]

The cards aren't but mebe 15mm or so tall at best. So profile won't be an issue there. What might be an issue is width. There's 3 types of those cards, standard width, slim and ones that have back plates for either, but it's all the same card.
Wireless Network Adapter: Asus - PCE-AC51 PCIe x1 802.11a/b/g/n/ac Wi-Fi Adapter ($29.65 @ Amazon)

Comes with slim backplate, 2 screws and easy swap if need be. Will mount to any pcie slot, x1 to x16.

 

[Scott A C]

Thanks for the help! I worded my question badly when I wrote "to the top of the case", because I hadn't explained that the computer looks something like a half-width 2U rackmount, rather than a tower. The clearance of around 70mm is how much space there is for the card edge-to-edge excluding the pins. The blanking plate where the card bracket would go is oriented vertically and is 80mm long, which is the longest it could be in my case.