I say go for it. I don't see anything wrong with dating during the seperation as long the marriage is really over as long he don't mind you goes out dating. The same token as you don't mind him going out dating. You need to go out to enjoy yourself and being in company too.
It is best to meet your date outside somewhere and not at your door, that if you are living under the same roof as your soon to be ex. Just at that moment while you are in the bathroom or in the bedroom getting ready, your soon to be ex answer the door first to see your date there may make both feel uncomfortable, kind of edgy feeling.
Also avoid places your soon to be ex likely to go to for dining his date such as his favorite place so that he don't accuse you for spying on him. That could flares up into a nasty divorce accusing each other for this or that. That has happened to one of my friend a long time ago. She went out with a couple of her friends and 2 kids to a restaurant having a get together. Then half way through her meal, one of the kids told her that her soon to be ex is dining with his date not far from their table and when one of the kid been to the bathroom and then back to the table, her ex spotted my friend at her table causing her to hurried up to leave. Then later, he accused her for spying on him and got very nasty to her. She didn't even know he was dining his date there. So yeah be careful, if you see him there with his date, just go elsewhere. It's better be safe.