There are two things to contend with in this scenario:
1. Camera power. Arup is correct that all-in-one solar cameras likely won't work for the constant stream needed for Camect. What you could do is run any of the recommended (outdoor, WiFi) cameras and provide is constant power using a battery and a solar panel. This can be done using an off-the-shelf product (given the proper voltage and current) or a DIY solution. You can find solar battery systems for trail cameras, due to their remote nature. These may be worth looking into to see if they can provide the proper voltage and current to continuously power the camera.
This potential DIY solution consists of up to 4 items:
1. a solar panel large enough to power the camera and charge the battery
2. a charge controller matching the solar panel and battery voltage and current ratings
3. a battery large enough to power your camera when there is no sun (think overnight, overcast days, stormy days, snow on panel, etc).
4. a voltage regulator, if necessary, to step your battery voltage to suit your camera a. Some charge controllers have built-in 12v regulated load terminals, which could directly feed a 12v camera. If you wish to power a camera using POE, you can add in low voltage POE adapter. Be sure to match your source voltage.
Wrap this all in a waterproof box and you have a power supply, given your panel is in a sunny enough location for long enough every day to replenish the battery.
2. WiFi. Your camera will need to connect to your network wirelessly. Ensure your WiFi reaches your desired mounting location, and that it is strong enough to handle the stream. You can always add on a mesh wifi repeater or additional access point to extend coverage to reach the camera.
How far are the woods from your house? Another option is direct burial CAT-6 cable, which can both provide network connection and power the camera if within reasonable distance. Being direct burial, the cable needs no conduit and needs very little digging to install.