Some thoughts:
This jumped out at me:
We are treating our separation as a break to refocus right now and we have no plans to move back in together in the near future.
Put your focus on this 'refocus' for yourself right now. Push the tires and any other items in the corner and forget about them (put a blanket over them even, so you dont even have to notice them). Thats a trivial one and I have kept other friends stuff for years sometimes just to help them out (assuming you have the space that is).
Pay for counseling? A personal choice - but yes, thats a little bit enabling (because you say that she could afford it if she just reshuffled other stuff). So what this means is, that its not 'that' high of a priority to her. But its a priority to YOU, or you wouldnt be considering it. Paying 2:1 is a form of compromise. Its not all bad. Means she has some skin in the game at least but be very very careful if this starts slipping to where you start picking up more of the cost. Major flag.
Keep reading the boards. In particular read what it takes to stay in a relationship like this. 'Trying your best' is noble - up to a point. For years I had this mantra I repeated to myself: "We are two smart capable people, we SHOULD be able to make this work".
But I was naive, and didnt realize that we WERENT two smart capable people. Because one of us had a disorder - by definition this means certain things are not capable of! Instead, my mantra should have been: My partner has a disorder that causes me grief and will never allow the type of relationship I want/hope for - but I choose to stay with her anyway and appreciate the pieces that are good, and manage/mitigate the negative parts"
'I could fix anything'. Turns out - I cannot. Its up to the individual to recognize and accept that they have a problem and seek help, and then do some really really hard work on themselves to improve. Most people really arent up for it, and for people with a disorder it may not even be possible (catch 22).
You can still be loving, thoughtful, kind, and considerate. In fact, getting enmeshed in such a relationship makes these things HARDER to do.
Im just saying - take your time to stabilize yourself. To build a really strong sense of who you are, and what you want. Dont just take on a relationship out of 'Obligation' because of the history. Or 'Guilt' of giving up on it. Read about FOG and make sure you arent getting sucked into it.
Welcome to the board!