While I really wanted to be physical with her, my heart still belongs to W
Most of us would counsel you not to date at this point.
Let me share my experience. I dated, as part of GAL, almost immediately after DB. The whole time I was completely honest with the women I dated. Just like you, I was totally emotionally unavailable, and found I didn't really enjoy it. It was a lot of effort, I didn't think it was fair to the women, and my heart just wasn't into it. So I stopped.
Fast forward a few months.... I'm still emotionally unavailable, but enjoy the company of a woman over dinner or at a movie. I'm still honest with them, which makes it somewhat hard to find a date, but I've found many women aren't interested in connecting emotionally; they just want a dinner companion, too.
The bottom line is, go at your own pace. Do what you're comfortable with.
Good luck.
M:23 T:26 Me:53, Wife: 60 S:18 D:16 filed 7/16 W moved out 4/28/17