The first year we got insurance for the hull it was a staggering $4100 due to my very low flight hours. The 2nd and 3rd year of insurance was better at $2800. Now that I am at around 700 hours, 500 of that in the -10, we're down to $2200. So far from what I've seen/heard from others, it typically doesnt get much lower than $2k/yr +/- for -10 owners with full coverage no matter how much experience the pilot has.
Edit April 2017: glad to say I'm wrong - we have had $1500 insurance on 150k hull value for the last couple years now. Woohoo!