Voila! Yes there is. Get an anchor bag. The bitter end end perhaps ten feet of line goes through a hole in the bottom and the anchor rode itself is laid in in that bag with the anchor end coming out of the top. It comes out in the same fashion it goes in and doesn't get kinked. I lay the line in a circular fashion as I lay the line in the bag. There are two carrying handles at the top of the bag, so the line is carried by the bag, and not the coiled line.
Incidentally, there is an excellent article about anchor rode in the most recent issue of Seaworthy (The Line on Hurricanes) which I will be posting later as a separate thread. Read the section "Five Critical Facgtors that Predict How Rope will Fare in a Storm.