I'm familiar with all but the unofficial 204 by-pass.
This is a well used trail that follows the east side of Bee Branch up into the canyon where the big tree is and continues beyond the "big tree canyon" to join trail 204 up on the ridge.
Another option, If you were going to arrive an hour or so earlier would be park at the Randolph trailhead and do 201/209/202. There are plenty of campsites on both sides of the river where 209 crosses and this time of the year there shouldn't be much competition for them but it will take an hour and a half or so to get there.
From there you could explore White Creek and the Ship Rock/ Needle's Eye area then head down 209 and set up camp where Bee Branch meets the Sipsey River. As Elbowman said there are lots of good campsites there and easy access to the big tree.
Sunday you would head down 209 to where 202 intersects and crosses the river follow 202 back out to the trailhead. Just after crossing the river though, you might try going upstream to the first feeder and following it a few hundred yards to Feather Hawk Falls. There might not be much water flowing over it right now but when it is flowing it's impressive. Also, check out the Johnson Cemetery on the way out.