Do you not know how to plan multi level dives?
So what is the problem? The BT is to be used as a backup device as per original question, not as a primary DC. Even if you are in a "tight" spot you can use a BT with avg depth information to calculate an ascent profile...
Tables and a bottom timer
Okay, folks, this past may I did a long series of 3-tank dives in Palau, diving with a group and a DM. We had 1 hour surface intervals. Here are the first dive numbers for several of those days, with the planned maximum depth for the 2nd dive listed. Please pick any of those days and tell me how I could plan the second dive using a bottom timer and tables if I discovered that my computer was not functioning after the first dive. Use any tables you want. (Note that I made it easy for you by not including the 3rd dive.)
May 8
First dive: 92 feet for 67 minutes
Second dive: 59 feet
May 9
First Dive: 100 feet for 60 minutes
Second dive: 77 feet
May 10:
First dive: 91 feet for 66 minutes
Second dive: 87 feet