I just happened to check this forum and saw your post. You probably have already left, but in case you didn't or need it in the future I figured I'd offer my $0.02. IMHO, the following is the quickest/easiest way to Bickel Camp. There are plenty of other roads out there with various degrees of difficulty. It has been years since we were at Bickel Camp, so I don't know its condition these days.
Head north on Hwy-14 until you pass the road to Ricardo CG in Red Rock SP
At 9.8 miles past the Red Rock turnoff, turn right (south-east) onto Last Chance Canyon Road (Ep15)
After 6.3 miles Ep15 intersects with Ep30. Take Ep30 east (left)
Bickel Camp is 1.2 miles east along Ep30.
Art