Hurtandalone --
I'm so sorry that things look so bleak for you right now, that you're trying so very hard to make this all work out right for you and for your marriage. Know that you are doing the right things here, good and solid and healthy things.
The success of your efforts depends upon H's willingness to give up the OW and recommit to your relationship. You can't control what he'll do, but you can influence him through your Plan A approach. Plan A focuses on you and your strengths and stabilities. You're doing all you can do right now to stack the deck in your favor; the all-important next move is his. The plus in Plan A is that you improve whether or not the relationship does.
I know you're discouraged and that it hurts. I can feel those emotions in your post. Know that we're here and that we care and that we're with you on this difficult journey.
The Plan A six-month timeframe is a ballpark figure; one that in general seems to be a likely and average time to have it work. From what you're saying, it hasn't "taken hold" yet and H maintains his contact (no matter what he claims). But as long as the EA continues, he will not be working with you on your relationship.
You know (and he doesn't know yet that you do) that the A is on-going. You know he's not telling you the truth. In other words, you're spinning wheels while he thinks he's keeping you happy. I'd let him know that you know, that he's not keeping his promise, that his behavior choices have consequences. A liar in a relationship cannot be tolerated!
If he plugs the leaks and switches email addresses, you'll still be able to tell by his behavior and attitude toward you. Typical WS statement: "...things were going good with us, why was I trying to ruin it?" -- nonsense and you know it. Remember, you're doing the RIGHT things here and H is doing the WRONG ones. Of course wanting that intimacy with your H isn't ruining anything. Bottom line: he's got to implement NC with OW before he can work on the recovery of your marriage. He promised...but hasn't delivered yet.
But you can't give up hope, as hard as this is. No, this isn't the life you dreamed of. But, believe it or not, it still can be. You've been Plan A'ing for a month; can you do another month? How about a week? Another day? Remember, this is about a "better you" too. Is this pain worth that? Is your marriage? You can do this, Hurt, you can hang in. We're here for you...
Ammon