This is going to hurt your brain when I say this, but if given the choice between pushing the bike and pushing the burpees . . . push the bike. Slow and smooth burpees are your friend today, so don't compromise the bike for the burpees. The weight on that barbell for the deadlifts should be something that you could complete 15 reps unbroken with if completely fresh. Strategy-wise, quick little sets will help offset fatigue so that coming back to the dumbbell isn't so intimidating. Last thing: when you finish your first round, look at the clock and see where you're at. The goal is to repeat and do the same thing for hopefully another round. Keep it smooth today folks, you're killin' it.