If it's noise from the boat wandering on anchor then consider using a bridle.
One way is to use a rolling hitch tied to the rode and then back to a cleat on either side. You'd have to let out about 20% more rode that usual. Let out your normal amount, get it set and then attach the line to the rode. Then let out the rode that 20% more. Once it's out then bring that line tied to it over to cleat on the side. Draw the line tighter and notice how it'll shift the angle of the boat on anchor. You only need to pull it 'enough' to get the desired offset. Don't go too far or you introduce other hassles like dealing with it getting tangled when changing direction due to wind, tides or current. It's also possible to use a bridle off both bow cleats to accomplish much the same idea. It's going to better handle direction changes but will require a pretty long line since you'll need to have extra on both ends to allow adjusting (since the knot it fixed in position on the rode).
I used this once last summer when a 15kt breeze started kicking up just enough small chop to make it impossible for me to sleep (the tequila had long since worn off...). Bit of a hassle doing this at 0-dark-thirty in my skivvies but it gave just enough offset to let the waves slap the hull at a 'less annoying' position.
What made it even more of a pain in the ass was having already left a raft-up with some sailboats to escape it. They were anchored such the slap was unbearable. So I just drifted off the end of the raft, far enough to avoid too much engine noise and then motored to another part of the cove (I think it was off the Rhode river somewhere). The wind eventually pushed me nearly back to the same angle as the raft-up. So the bridle was my only other option.
See
http://www.animatedknots.com for info on making the right knots. Look for rolling hitch, prusik and klemheist.
If you're sure about the weather and wave conditions you could also use a stern anchor, or even just anchor from the stern. But there you need to be sure you're not introducing the added risk of water coming in through the transom door.
There are lots of reasons NOT to use a single stern anchor and most are correct. But in a small protected cove on smooth water and no weather expected, well, it's an option to consider.
Using two anchors; one bow, one stern, is another option but it's again something you should only be considering if conditions are right for it. There's also the bahamian mooring technique using two anchors, but I've had no experience with it.