If you really want a word for this, I'll make one up for you. Call it entomophagous vegan. Entomophagous is the adjective for eating insects. You can also say plant and insect based diet. But there is no mainstream word for the diet you describe at least in the US or Australia.
I symphathise with you as I have a very complicated diet (vegatarianvegetarian with the following modifications: no cheese, but I eat insects, invasive species, and sustainably harvested, abundant, wild, herbivorous animals). Try explaining that diet easily. The vegan plus insects and honey is less complicated, but complicated enough that if we had a word for every modification it might get unweildyunwieldy.
In most practical situations, you can just say you are vegan. For example, at a restaurant: just say you are vegan. This makes things easier for everyone. While avoiding honey is technically not vegan, and the phrase "beegan" is sometimes used in vegetarian/vegan circles, in the vast majority of situations where you are with the general public and just want to be practical, vegan + honey = vegan. In fact, pure vegans at a restaurant ordering a sweet dish should specifically ask if the item contains honey. Most servers in the US, Europe and Australia do not realize that honey isn't vegan unless their attention is directed to the fact bees make honey. You might ask, is saying "I'm vegan" lying? Yes, it is. However, it is like a friend of mine who says his name is "John" when ordering food at a restaurant, because his real name is "Jobosiguentanacalda", calling himself John is a white lie that hurts nooneno one.