Sounds a bit boring if you were to do them all that way. What background do you plan on using in the studio?
I could see a commercial website, like Extreme Clothes Inc. doing something like this on their website:
Famous athlete 1:
Action vertical Portrait vertical
Action vertical Portrait vertical
Action vertical Portrait vertical
Action vertical "I like Extreme Clothes because they're awesome"
Famous athlete 2:
Portrait vertical Action vertical
Portrait vertical Action vertical
Portrait vertical Action vertical
"I <3 EC" Action vertical
So if you leave out the "I <3 EC"-bit, you could alternate the sides (Would probably work better with an even number of images, or a higher number). But hey, try it and see what works best afterwards.
Edit: Before confusion takes hold:
1: EC is a fictitious company.
2: The four lines of "action vertical" and three lines of "portrait vertical" are there to illustrate proportion, not number of images.