Nas..remember one thing..You cannot control his actions. So if he decided to go and file tomorrow; I believe he would anyway.
If you want to tell him that you need more time to think, then go for it. Anything you can do to stall will keep pushing it out. As far as paying for half; you could always tell him that you have had a change of heart, you don't want the D. If he wants it, he can file and pay for it. His L will probably request that you pay for a portion anyway. Maybe removing your willingness, upfront, to pay a share might make him slow the process a bit. I don't know if that's true or not; you know him better. but with the cost of setting up a new household; he might not be able to file right now. Is it worth the gamble?
In the end, I quit talking about any kind of timetable; at least from your perspective.