Hey there and welcome
In my humble opinion, the best diet to eat with hypothyroidism and Insulin Resistance is the glycemic index diet. Basically, it is where you eat lowish to moderate carbs, whole grains (nothing white), low glycemic index foods (foods that break down into sugar more slowly in your system) and link your carbs with protein and fat. For example, as a snack you wouldn't just have an apple. You would link the carb (apple) with protein and fat - so an apple with natural peanut butter, or an apple with a few cheese cubes. Linking in this way helps to slow the process of sugar hitting your system triggering insulin release. The idea is to keep your insulin levels as even as possible without spikes or drops.
A Google search of "glycemic index diet" should yield a ton of results. Basically, a whole foods' diet with very low sugar, whole grains, lots of vitamins and fiber, and linking protein and fat with carbs to slow the conversion of carbs to sugar in your system. I am a huge fan of this way of eating because it seems intuitive (it mirrors a very healthy, nutritious diet).
Good luck, this is a very supportive place
