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.. that day, added/subtracted against actual outcomes?  You'd just have to have his expected base/outs against each batter he's matched up against that day, right?  With ballpark and umpire adustments.  I don't think weather would be worth the effort.  A team's DER for that day's fielders would be rough (impossible) to calculate accurately, but doesn't sound like it would muddy the water too much.  The fielders behind a given team's pitchers would usually be pretty stable from one day to the next.
True Wishiker that pitchers' stuff is random, but this is precisely where a catcher makes a difference - both in bringing the SP into rhythm, and in helping his cope with his Grade B game.  Over the long run, the CERA would reflect the catchers' abilities to bring in pitchers ahead of or behind expectation.