Ok...so lets put this in perspective...you've been seening a C since November. While this seems like an eon to you (believe me I know)...in reality it's simply not very long, it's not a short amount of time...but it's not uncommon when you're working on rebuilding trust/friendship/love; especially since most of us don't start really working on things until the R is about to end.
It's also not really surprising that she'd be willing to take showers with you...this is habit, this has been a normal thing for her to do right? So she doesn't really think about it.
I personally believe that if you two can maintain your "date nights" that you will see a change...it won't be immediate, but I believe she will start warming up once you start treating her like you used to when you were dating.
It really did surprise me when last week my H and I went out...we could talk at home at any given time right? But we talked more about our R and about other things important to us than we have at almost any other time...at home. Why? Maybe because we were having fun, we were relaxed...but it really did feel like when we were dating, it was great!!!
I really do feel she gave you a good clue when she told you that she'd be willing to go out as "friends"...I personally think that's where you two need to start at, you need to rebuild that friendship; then things will begin to come back on their own.