I'd be inclined to get a POE hub/switch cheap (30$ branded, unbranded and talking sub $10) and the adapter for the Rpi and run them both over that. Not sure how the cost balances for this and maybe a bit more going that option, but if you add a single other POE device, it would definitely pay off cheaper and certainly more flexible cable wise on Ethernet and as such power.
That's the same type of setup that is common for security cameras using PoE. It seems to work well. Depending on how resource intensive the video analysis is, you could have several cameras being analyzed by a single mini computer (Atom based $100). That might be slightly cheaper than a single Pi per camera. Also, where are you finding those PoE switches?! I was looking for 8 port ones just a few months ago and they…
Though if you're in no rush, January is sure to have some good sales/warehouse return deals. Though if you want to go offbrand and 10/100 do you then "Cudy FS1010P 8+2-Port 100Mbps Ethernet PoE+ Unmanaged Plug and Play Switch, 120 W, 8 10/100Mbps PoE+ Ports" on Amazon will pull up a 40$ model as an example that seems like maybe worth checking into.