It's not unreasonable but at the same time given you've only been split a month, chances are its going to be inflammatory. Unless you & your ex are very reasonable & understanding.
Can you email him? Pretend perhaps you've been thinking about it late one night and email instead? Then you can print off the trail when he replies?
Frankly whatever you agree now is just an agreement anyway and means nothing in reality if he decides to change his mind. So I wouldn't bother with signing anything.
Dont forget one day, you may want things to change too.
But when you do agree contact, make sure it includes start & stop times. So for example, 3pm until 7pm (or whatever). Monday - Tues is too vague and you'll end up arguing over the time.
Also, discuss what will happen if DD is ill. Does she still go if she's with you? Does she come back if she's not?
Lastly, the thing I always say is certainly for the first year or two, any routine should be FIXED. It's tempting to have a "flexible" routine but in practice one always takes the piss. Many ex's will drop a day or two or three to go on the lash with mates, or suddenly have to "work" on their day leaving you high & dry as the resident parent to find a sitter or cancel your own plans.
Hope it helps.