Some things to consider would be. Is there a cold stream/river near by? If so you can use it for some amount of refrigeration. Seal things in a zip lock bag or two and put them in a cooler in the river. If there are any culverts near you with descant water flow they stay pretty cold. Build a little platform in them out of branches and keep your cooler on it. It's not as good as real refrigeration but works better then nothing. Both these options could be a problem if the area is susceptible to flash floods or has a high bear population.
Wild foods could be good. But the problems I see with them are. Having kids around some of them may try to emulate you or think it's safer then it is and just start eating stuff. Also if you are not very knowledgeable about plants you could make a mistake easily. Being far from civilization and uninsured? not a good time to get sick. This is not to say you can't use them you would just have to stick to the easy to identify ones and maybe not include the kids. Plus allot of wild plants tend to require a fare amount of energy and time to gather and process. Thats why we live in communities and eat lots of meat.
some other foods to consider
tuber or plantain chips=fry some starchy stuff in coconut oil I like plantains use a ratio of 3 green to 1 ripe make allot put it in zip lock bags. Also good is taro, and yucca.
smoked salmon=look at places like canned food warehouse for cheep but still wild caught.
rillettes=needs to be kept somewhat cool. Easy to make lots of energy!
canned butter=look for Vietnamese grocers near you they seem to carry this or order online
canned shellfish=mussels, oysters, clams!
canned caviare=try russian/Ukrainian/german grocers/delis read ingredients
canned pates=livery! won't be grass-fed but still good for some liver
canned cod livers
smoked sausages=look at the same places you'd find caviare and fancy butchers/delis. Most important keep them dry. They may get a yeast bloom on the outside just wipe it off with water or vinegar
coconut oil pemmican=may just melt in cali summer but would be perfect for refrigeration like I talked about up top. You can get a one gallon bucket of coconut oil for $40 here
homemade or store bought larabars
white rice=you may need the carbs!
Insects= the easiest and safest are grasshoppers and wood grubs. Find wood grubs in rotting pine they are pretty big hold the big flat head and bite off the rest. Crickets my description of how I catch them is here
Most importantly I would say don't let it be to big of a deal. You will be active, outside, having fun, learning/teaching, drinking cleanish water, and breathing cleanish air. So if your food slides a little don't worry just plan on getting back on track when you get home. Avoid the biggies like gluten, sugary crap, vegi and seed oils, and maybe dairy. But don't even stress those if you don't have any serious allergies or autoimmune issues.