He's afraid to make the wrong decision. He's afraid that something better might come along. He's afraid of committment.
Which brings me to this. When he does this it triggers me.
What causes a person to be so wishy washy? It's confusing because when it comes to business he's very decisive and confident.
I don't know that he really thinks it's a problem for him. He justifies it by saying that he's being prudent and wise about very important purchases/decisions.
One thing that both my husband and I have learned, and it's probably true about others as well - when there is a situation that is going near somewhere we had early FOO problems, we are not able to function wisely. We THINK we are functioning wisely, but we are reacting to a world that existed a long time ago, doesn't exist now, but seems to exist now (when you start with a conclusion then it's easy to find evidence that it's true and ignore evidence that it isn't).
Example for me: My kids have to be really sick before I will notice. When I was little, I soldiered on when I was sick or hurt because I would have been shamed for asking for help. You read about this - I had a broken arm for a week (and it was painful!) before a teacher noticed I was writing with the wrong hand. My kids have learned to compensate for this. One of my older daughters will get out the thermometer and tell me to make a pediatrician appointment for a younger sibling. Of course I'm trying to do better, but it is helpful to be aware that I have this problem and for my loved ones to be aware and to help me. When I'm tempted to think there is no reason to go to the doctor for an ear infection, they don't prescribe antibiotics anyway, it is helpful for me to know that my thoughts are probably disordered and I should listen to other people.
Example for my husband: He believes it's his job to make the peace at work. It WAS his job growing up to have no needs and keep his mother happy, this pattern is firmly based in a previous reality. There is a new co-worker who has issues with rage and everyone except my husband is terrified of him (he and my husband have a great relationship because my husband will calmly listen to his rage and then carry on with problem solving). We were talking about it and I said the obvious: you think your job is to work peacefully with him, but at some point, your job is to let your boss know that this is really a problem. If you keep shielding, your boss won't be able to address it. To him this was revelation! He said I am an emotional genius. I said, it's stating the sky is blue, but thanks.
I will probably never be good at noticing when kids are sick, and my husband will never be good at knowing the difference between when to stop making the peace and when to say something, so we have learned to rely on each other (and other people) when we are near situations where we are likely to have obscured vision.
I one million percent agree with HikingOut that the analysis paralysis is patterned behavior that is rooted in something deep in him and your suspicion that it is somehow related to cheating.
Which means that you have some leverage to urge him to get help getting insight with this. For YOUR sake.
You can say: Please listen to me when I tell this is not normal behavior. Please trust me because I love you and I know you: this is not the behavior of a person with a peaceful mind. There is something wrong. Because we are married, your difficulties, your problems, directly affect me. I am living a less-good life than I otherwise could because you are avoiding responsibility for this issue. You need to hear from others (friends or professionals) that it is not normal, you need to understand where it came from, you need to be able to identify when it's happening, and you need to seek and accept help when it's happening.
And tell him about the trigger. That it is painful to you and you need a different narrative to explain why he had the affair, other than he had regrets about marrying you. That you need a coherent, complete narrative where all the jigsaw pieces fall into place. That figuring out his strange behavior is something you need to heal.
It's a constant, constant, constant peeling back of the layers of the onion. Work and rest, get insight and apply it, death and resurrection. The work doesn't end. But each time you go through a difficulty it's so much better on the other side.