Having leased a Leaf and now an eGolf, I can tell you that some insurers treat any EV's like they are Ferraris. For me, AAA seems to be the worst; consistently, for the last 4 years in a row (when I first got the Leaf), their quotes were far and away the highest of any insurer. Prior to the Leaf, their quotes were only slightly more than Allstate. GEICO and Progressive also gave me high quotes, but then they did that before I got a Leaf.
I had Allstate when I got the Leaf but dropped them and went to their own esurance subsidiary for the same price as before I got the Leaf. I'm now with Ameriprise through Costco.
As mentioned above, shop, shop, shop!
Blue Ocean 2012 Leaf SV, lost that 1st bar on 11/21/2015 at 26,435 miles.
Lease returned on 12/23/2015. Final LeafStat figures: 225 Gids, 17.44 kWH, SOC 91.89%, SOH 82.36%, 69.49% HX, 54.57 Ahr, battery temp 61.8 F
Now driving a 2015 VW eGolf SEL