Can you share the Illustrator map file - I'll see if I can replicate/assist.
Hey Troy, apologies for the delay.
I just tried this and did not experience the issue you describe. I went through nine copy (Illustrator) and paste (Edge) process. Each came through successfully.
I don't suppose you are hitting a memory issue! I have 16gigs of Ram so I may be getting more use out of my upper memory allocation. I am also using the latest versions of both - is this your case as well.
If need be and you want to get all of the states separated as svg, individually, you may want to have to a look at this Illustrator script - Export Illustrator Layers to SVG files | Thomas Byrne