I was saying with 5 mulligans apiece one of the groups might have gotten that low.
Here's my course:

I'd say birdies on everything no problem. Longest approach on the par 5s would be about 230 with a 300 yard drive (and someone would probably get in the fairway early and allow the other guys just let it rip). Plus they'd get to show each other the line on the putts so no trouble with eagle on the par 5s.
14 is basically a long par 3 for them at only 250 yards, so another eagle there. 5 would be drivable with no trouble in front of the green so they'd be putting or chipping for eagle there as well. So that leaves them with chips or pitches close to the green on 1 and 16, plus short wedge shots on 4 and 13. Plus they'd all be able to fire at every single pin.
So if you had 20 or so groups of pros, all with five mulligans each I could see one group with eagles on all the par 5s plus 5 and 14, and then holing out with a wedge on a couple more, especially considering a couple of those holes they'd likely be pretty close to the green and basically just chipping.