Here's what I know, drive in at the Pine Creek Access. There are 232 stairs, don't ask me how I know that. It would be a challenging yet reasonable hike down to the river. One person with a canoe would be difficult, especially coming back up the stairs. I would go lightweight, backpacker style to avoid carrying a lot of extra weight. Keep in mind the first few miles are going to be a river with current, which is nice. However, on your way back toward the trail access, you will be forced at some point to carry your craft back up the portage trail- the old railroad grade. This will likely not be that much fun.
There is a good camp about 4 or 5 miles on river/lake left. There is a pit toilet/ fire pan? and this same location allows for hiker access too. I suspect it wouldn't be busy, but I don't know really, I try not to hang out on lakes.
Another good option to consider on the Gunnison that is closer to Cortez, if that is where you are coming from is Escalante Dominguez Canyon between Delta and Whitewater. It would make a terrific overnight at this time of the year. Hope this helps.