just north of Fairlee Creek/ Great Oak Landing is one of my favorite places to anchor. There is a wide baylike area just outside the entrance to Worton Creek "R2". The shore is completely undeveloped (there is one farm building on a high sandy cliff). The entire area is 10 ft of good holding.
Mind your charts and GPS if you choose to anchor along the northern edge of the anchorage, there are a few submerged piles that are visible at low tide (the cormmorants use them to stand on and dry their wings). The northern edge is the nicest though, you have a long view across the bay for some great sunsets. There are bald eagles and osprey that roost in the trees at the top of the sand cliffs. I once had an eagle pull a big fish from the water within 100 or so feet of my boat, a cool sight.
If its wind from the south through west, it can get rolly in the anchorage outside of the creek. You can just duck into Worton creek proper and anchor to starboard just past the 1st mooring field. Be aware the the depth is thinner here, but the holding is good. The area of Worton Creek is only a few NM (less than 5) up the bay from Fairlee, so it won't be too far to meet up with your friends.
You can anchor in fairlee creek, but like the chef says its a powerboaters dream come true, and i mean that in a bad way
Zoom in on the upper right hand side of chart 12278 and check it out:
or zoom in on about dead center of 12273 fo a similar view: