I've spent a lot of time anchoring in the Delta and adjacent waters, mostly in a 43' Mainship. Never was that big on the tieing to a tree method, I think we might have done it twice that I can recall, once bow, once stern. I preferred to anchor parrallel to the bank so we didn't stick out as much, including having a line out into the channel. Preferred methodology was to set the bow first, back down and set, drop the stern and set it as we came forward on the bow rode. For this kind of anchoring, a couple of Danforth style anchors are ideal, though the boat in question had a Delta on the bow and a smaller Danforth as the stern. I really like a Danforth/Fortress for a stern anchor as they stow flat and are easy to handle manually. Plus they have great straight line holding power and set quickly. Allow for any tidal range by giving adequate scope. Where there was a little more current shift and current speed, we used a Bahamian moor a few times, just for the practice.
There are a number of beautiful spots to anchor out all over the Delta that have relatively low traffic, as they are "dead end" or less direct routes than other channels. It all depends what you are looking for activity and socially wise. Summer weekends can get a little crowded and rowdy in some spots like The Meadows, Mildred Island and Venice/Mandeville cut, among others.