I would not use wireless because wireless will be too erratic performance for your need.
Instead, use a couple of POE cameras, two long cat5 cables, two POE injectors and a switch or a POE switch, and a laptop to do the recording. All of this would run off a 150W inverter which can run off a car battery.
Camera $100 NZ/each http://www.cdlnz.com/index.html?do=viewproduct&p=LAN080&code=NFC31-IR These are 720p HD, so the footage is 1280x720 and is just under 1 megapixel. Webcams tend to be 640x480 at 0.3 megapixel.
POE switch $60 NZ http://www.trademe.co.nz/975329444 you'll find something on ebay to do this.
EDIT: Netgear has a cheap 5 port swith model GS205 which is POE, $35 NZ http://www.trademe.co.nz/977028525
Cable, stranded cat5, 30c/metre or $100/roll of 1000 feet. http://www.cdlnz.com/index.html?do=viewproduct&p=NC105&code=C-C5E-ST%20R Ethernet is up to 100 metres from the switch, but you can push to 120 metres or so. If you cut it too long, just trim off 5 metres and use that for making flyleads later.
Crimps for the ends $10 NZ The tools cost a bit more.
Inverter to give mains power from a 12V source $40 NZ http://www.cdlnz.com/index.html?do=viewproduct&p=UPS600&code=IPS-250
Fully charged car battery - Best to bring a spare, or use one in your car. Depending on condition and load you may get anything up to an hour before its too flat to start your car. You can leave the engine idling, but this will use fuel.
All up thats about $410, but you have a lot of parts that can be reused or onsold. You might be able to borrow some of it too.
I can't see how you'd do it for $50. You'd be limited to two cheap USB webcams attached to a laptop, and you would have a maximum of 10 metres between them even using active USB booster cables.
Third option might be to use two action cameras, set them up and record on both, then stand in the middle and use a big clapper board to make a sound spike for synchronisation.
No matter what you do you'll need to find some software to combine the imagery, and something like google cardboard video player to screen it.