I would say no, that really wouldn't be allowed. There is still the possibility that the engine could provide you with ideas that could help in the game. Say, if a particular square or piece is weak but neither you nor your opponent has seen it for a few moves. The engine may point that out to you.
That said, there is another rule also that would say no (from here):
You may also use Game databases which do not include computer analysis (including Chess.com's Game Explorer) for the Online (correspondence) Chess only.
So basically, you are not supposed to use an engine to analyze your own games and then use that analysis in later games you play on the site. Which seems really hard to enforce since you can't guarantee that computer analysis isn't included in databases you may be using.
I sometimes analyze my finished games with engines, after I have went through the game first, because if I don't see something in the game, I'm not very likely to see it later in self analysis. Which means I can't use my personal games database which might include engine analysis. That hasn't been an issue with me, as I haven't been going back to my old games for ongoing games anyway. I guess you could just keep a copy of your games, that are moves and self-analysis only and another copy that includes engine analysis.
Okay, so I've already read a lot of various posts about cheating/engine use, and I know that using one in a game is obviously cheating. However, I have a bit of an ethical/rules dilemma- in this case it is purely hypothetical as of now, but could become practical. Let's say that I am playing a turn-based game, and I'm way past the opening, and I realized that somewhere along the line I screwed up, but I don't know where. Let's also say that large portions of this line are standard moves to me, and thus, this situation could very well occur again if I don't rectify the problem. Would it be in this case unethical/against the rules to use an engine to analyze the game PROVIDED THAT I do not go up to the point where moves are currently being made? My argument being that the rules state that "You can NEVER use chess programs or engines (Chessmaster, Fritz, etc) to analyze current ongoing games. . ." And that if it's a turn based game, the portion of the game I'm analyzing is actually not current- I can't take it back, and as long as I don't analyze moves that I could actually still make, I'm in the clear. Any thoughts?