Don't anchor in overly shallow water overnight unless you feel absolutely certain of the weather. Big high pressure system, probably okay, iffy weather, better put some water under the boat. If the wind shifts and you drag anchor, you could be in trouble real fast in shallow water. If weather moves in, you could get waves large enough to bounce the boat up and down on the outdrive. Strawberry is nice but it's exposed to the prevailing winds from the west. Muscamoot would be a better choice or even back in in the Sney. Both are sheltered and you'll enjoy beautiful sunsets. At least five feet is desireable but hard to find out there the last few years. Remember you need an anchor light if you're anchored for the night. Helps keep some crazy fool from killing you in your sleep. Another tip, the farther you are from shore, the mosquito factor diminishes exponentially.
We anchor by the island, we don't park the boat.
If your up for a little ride south on the Detroit River - there is a nice little cove at the tip of Bois Blanc ( Boblo) Island. There is also Crystal Bay ( Canadian waters, need to go ashore to check in first - used to be crazy on the weekends) or by the "hole in the wall" (check your charts to get back in there!).