If you try to address every possible food allergy or issue at once, you're right -- you will be on a diet that is far too restrictive and will negatively affect your health. It is more important to find out which foods YOU tolerate. Just because someone else says rice or fruit gave them a problem does not mean it will be a problematic food for you. And remember, if you have leaky gut, you may have reactions to foods you do not really have an intolerance to. You have to allow time for your gut to heal.
I think you should give yourself a while eating a version of these foods: egg yolks, organ meats, steamed carrots or squash, slow-cooked meats (like in crockpots), lots of bone broth, canned pumpkin, maybe some wilted greens. This is basically the diet I've been eating for the last few weeks (along with yams but some people feel they are best avoided -- I have no problems with them). You need a good source of probiotics. Water kefir is very unlikely to cause any sort of reaction -- there are trace amounts of sugar, but the high probiotic content is worth it.
It is important to make sure all your meat is slow-cooked (not fried) at this stage, if you have low stomach acid or leaky gut. I was still having lots of digestive issues when I was eating a lot of stir-fries. The slow-cooking helps break down the fibers of the meat so it is easier to digest.
Another thing I've found helpful is gelatin. I bought some grass-fed beef gelatin and use it to make paleo gelatin treats. A little coconut milk, some lemon juice, a tiny bit of sugar = delicious lemon custard. I also make a sugar-free version with brewed tea. At first I was eating a bowl every day, and it really did seem to help. After a few days, I noticed feelings of hunger in my stomach (which I hadn't felt for a long time).
If you focus too much on avoiding every food that anyone anywhere could possibly have an issue with, you will stress yourself out so much and probably deprive yourself of adequate nutrition as well. Avoid the major allergens for now (nuts, egg whites, nightshades), LISTEN to your body, make sure you're eating enough, try to avoid stress, and above all, BE PATIENT. I think it takes an average of three months before a paleo diet will clear your skin.