I do WBTB a few times a night without an alarm clock, because I wake up naturally from a dream a few times a night. You might be able to sleep 11 to 5, then get up as usual. Then do your WBTB+WILD instead of starting your day right then. Since 4-6 hours is what a lot of the guides recommend for WBTB. That seems like the easiest idea to me unless you have to do something else in the morning already.