Hi Denny,
We'll be covering that in the very next workshop, in fact (I'll update the schedule to show that we're pushing IFR out one or two more times to finish up the VFR scenarios, culminating in some Bravo exercises).
The fact that the LAX has published transition routes often causes confusion for pilots when they run into Bravos that don't have those routes. The simple answer to your question of how to obtain a clearance through the Bravo, direct KSEE is, "approach, Cessna 123AB, request Bravo clearance, direct Gillespie."
Then, what will be, will be.
I was about as busy as I've been on the network that night (was a medium number of planes, but all of them were doing operations that involved quite a bit of interaction, pulling plates, looking up SOPs, etc), but I did notice you circumnavigating the lateral bounds of the Bravo. Short of requesting a clearance through, you could almost certainly have gone under some of the outer shelves, that's always an option, too. It's relatively rare to have to skirt the entire lateral footprint of a Bravo unless you're high enough to get caught by the outer shelves.
I'm bummed that you couldn't make last night's workshop...we did MYF to RNM, going under some of those outer shelves, it was a fun planning session. Unfortunately, the recording won't be available due to technical issues, but if you want me to run through that flight, or your flight, let me know.