I really can't see how brocolli, asparagas, green beans, etc. could make a real difference in blood sugar or insulin. I imagine that it is best to combine the veggies with meat. The fiber in the veggies will help you to eventually digest and shit that meat. If you have flax or something, I still think the veggies are ok. Remember that Crum's diet is not ketogenic. Gluconeogenesis from protein gives you probably half your energy (as blood glucose, which releases some insulin). Veggies really won't make a difference.
Eat away!