The only to-go items you can get from Beaches & Cream are the ones offered at the special to-go counter. No Way Jose is a table service menu item so I'm afraid you'd not be able to get one of those.
On a more practical note it would be difficult to eat and share while walking around the BW anyhow due to it's size - it's a bit of a whopper

I'm sure it's possible that one of the reasons it and their other sundaes are not offered at to-go counter is because they don't have containers that big!