If that routine interests you then by all means try it out for a while, I mean we only have a life time of lifting to figure out what works for ourselves right? I just added what I call "vanity" day to my routine. I hit bis and tris on one day. Generally I stay away from a lot of direct arm work but it's fun to hit "beach muscles" sometimes...especially right before beach season.
Anway try this for bis
Chin-ups (this is with the reverse grip about shoulder width apart not too wide though) 3 sets to 10-12 (or failure which ever comes first)
Barbell curl: reps of 10, 8, 6, 4, 8 - use heavy weight but be very strict with your form. No swinging!!! If you need to cheat a little on the last set to get out the couple last reps then OK go ahead.
incline Dumbell curls: 10, 8, 6, 6 reps (heavy but strict)
1-arm dumbell preacher curl: 2-3 sets of 12-15 reps (concentrate of getting full extension but not to hyper extend.)
If you've got any left in the tank try some drag curls, zottman curls, or dumbell hammer curls.
Just another option for you to try out when you can fit it into your routine.
DM