You have got more than enough on your plate right now. While it may seem like a good idea to get out there and meet someone and potentially have a sounding board, now is not the time, and that is on so many levels:
1. The distraction and initial feeling of bliss from a new relationship, can keep your mind off of this one, but can also keep your mind off of the tasks at hand.
2. You think that she is tough to deal with now? That will be nothing compared to what will happen when she gets a whiff that you are seeing someone else.
3. The new girl, or "cupcake" as is commonly referred to on this site, will inevitably have demands of her own. Those demands are very likely not going to be compatible with what you are capable of right now.
4. Many of what you are going to meet out there are also going to be train wrecks. You need to maintain focus and be able to walk away from something like that, and in your current state that might not be so easy.
Deciding to go forward with a divorce is kind of like joining a brotherhood. However, it is a brotherhood that you really don't want to join.