I beveled the front and back first, and I'm glad I did. After cutting the top to the dimensions in the plans, I only had, roughly, a 7/8" overhang on the front and back. I measured out a 3/4" bevel, and planed it down with a block plane, and smoothed it with my #7. Then I took a look at my top. I had marked out a 2" bevel on the sides. Why? Because that's how much room I had. I decided to scrap the 2" bevel and just go with 3/4" all the way around.
When it came time to put the bevel on the underside of the top I had a choice. Table saw, or hand planes? I watched this Wood Whisperer video, in which he used both approaches. I had planned on using the table saw, but when I thought about the effort required to get everything setup I decided to give hand planes a shot. Wow, it was fast. I finished all 4 bevels in the time it would have taken me to setup the table saw.
I promised a pic of the dropped drawer corner. Here it is. Still working out how to fix this. You can see from the 2 pictures that it's in an awkward place.