Man, you guys do not think outside the box.
In this situation, your CREW is going to have to -accidently- fall overboard, and while underwater, grab the mark by the anchorline, and move the friggn' thing, then add an extra Kick when getting back on board over the transom. The extra kick may even help get the boat around.
No harm, no foul and the boat, nor crew, ever touched the mark.

Now, the real question is, why the heck were you out in the boat in no wind in the first place?? Go to the beach and drink heavily.