I've driven to DTD before and had no trouble parking. BUT....it was middle of the week, in the morning. Now? Nope. With all the stuff going on in that area, I would just stick with the bus. Yes, it will take you longer to get there, but you won't have the hassle of parking. Not to mention all the locals who are darting to and fro, trying to move more quickly, added to the tourists who are completely freaked out!
And yes, it can take awhile for a bus to get you back....but, if you aren't in a hurry, it's really not a huge deal. I seldom have an issue with buses at night since I'm not going anywhere other than back to my resort.