Allergic to nuts and coconuts?
Can you have seeds? Sunflower butter would be good to help you get some calories/fat if you can have seeds. I like to eat it straight out of the jar.
Also - I know others would probably recommend avocado - though I personally don't care for avocado much.
Additionally, I know it sounds gross, but recently I'm partial to 'sneaking' raw egg yolks into things - they add tons of nutrients and a good hit of protein/fat. I add them to smoothies and have even been blending a yolk into my morning coffee. You really can't taste them at all, and they make everything thick and smooth!

wow... you have a lot on your shoulders!!!

girlfriend, rock out on those egg yolks. yum!!! try chocolate avocado pudding! there are millions of recipes on pinterest. and put it in smoothies! also, try making avocado brownies. another way to get more fat is to make sure you use tons of oil when you cook. save your bacon grease, order some tallow or suet from your butcher, and try ghee!

as far as the recent food allergies, something worth looking into might be an elimination diet like the gaps diet, or Cheeseslave's healing from food allergies information? http://foodallergies.realfoodmedia.com/

just my two cents worth about the binging... it's NEVER really just about the food. there is so, so much more behind it. i don't eat a lot of starch so i hear you on the feeling gross thing, but please take it from years and years of learning the hard way... it's what's in your heart that counts most as far as what leads to disordered behavior. just my thoughts! good luck on the food allergy stuff!!!! keep us posted on the results.

btw - are you allergic to peanuts? since they're a tree nut/legume, it might be an option? i know they arent "paleo" but who cares?

also (sorry to blow up your thread!!!), i just looked at your log. if you are low on calories, PLEASE don't eat low fat yogurt and egg whites! that is not paleo! eat whole fat things, and you will feel so much better!

You should increase your fat intake! Fat adds calories and is the primary source of energy for us primal types trying to avoid carbs.

Use avocados, eggs, and healthy oils to add fat to all of your meals. Try coconut oil, walnut oil, etc. Try infused olive oils - I have some beautiful chipotle infused oil, saffron infused oil - they are delicious and really boost my meals and salad dressings. Avoid non fat and low fat things like the plague and avoid vegetable oils and omega-6 fats (nuts) as well.

Fat does not make you fat. This is the hardest thing to learn when going paleo but it is CRITICAL to success. I don't want to sound preachy so let me know if you would like more info and I am happy to share.

edited to add - standard health care mantras about cholesterol are based on misunderstanding. high cholesterol is a symptom of other things wrong, not an end in themselves. do a little research to calm your fears - its hard to let go of what we have been taught, but its necessary! http://paleodietlifestyle.com/cholesterol-is-not-bad/

Check the Balanced Bites site for their dairy free chocolate mousse. It is a complete winner and has avocado in it.

What about flaxseed--ground up in smoothies, on top of salads etc. Or the oil. I do not know whether flax is very allergenic--maybe it's included in your allergy test results.