I can relate to those feelings, although I was eating grains (and everything else) at the time.
Since you say meat, bone broths, and eggs make you too queasy, you could try concentrating more on fish or chicken for protein (or even simple chicken soup). If ice cream does it for you, there are some primal versions out there (Coconut ice cream), although in the case of diabetes it's probably not a good idea to eat too much. If ice cream is not a problem how do you tolerate yogurt? What about some crackers made from coconut flour? Don't know if they actually exist or not. Did find this: "Cheese Crackers - This is a delicious wheat-free, sugar-free snack that is quick and easy to make. They look like cookies with a crispy cookie-like texture but the taste is distinctly that of a cracker."
When I think about gentle from the primal list I think pumpkin, squash, or sweet potato. It might not be as low carb, but a few spoons might settle your stomach.
Don't know if that helps you or not, but I hope you'll be feeling better soon!
Female, age 51, 5' 9"
SW - 183 (Jan 22, 2012), CW - 159, GW - healthy.
Met my 2012 goals by losing 24 pounds.
2013 goals are to get fit and strong!