I put together a prototype Booster Pack that attaches to the CC3200 and has a RFID-RC522 card (sometimes called a MIFARE module), two buttons, and two LEDs. The CC3200 is connected to the cloud using Temboo. Currently it sends an email to me with information on the card used when accessed but it would be easy to modify to record time of access, card used, etc and put it into say a spreadsheet. This was a one afternoon plus an evening project for both hardware and software using Energia - very easy to do. The cards have security holes but I am pretty sure they pose too high a technical challenge for my local hooligans. I'm more afraid they might rip it apart and take my CC3200 than anything else.
This is the Booster Pack, top view.
Here it is attached to an upside down CC3200.
In this photo it has been mounted in an enclosure and is reporting a successful read and transmission with the green LED.
And if you are really interested, here is the schematic.
I am using the RFID library located here. And if you aren't familiar with Temboo, find it here.