Thanks to all your input! Very enlightening.
I have decided on my next project. 5-keys keypad using I2C. Right now, when needed, I plug in a 5-digital-pins keypad into the key-less Arduino(s) - I have two such 5-key keypads, but not all my keyless Arduinos have 5 free digital-pins. I can convert all of these to use I2C-based keypad.
But first, since the tiny13a is USI-less, getting a pure-bit-bang I2C to work inside the tiny13a may not be feasible.
I will start with a Tiny85. After I get it working on a Tiny85, I will attempt to shrink it to fit into the tiny13a.
Thanks folks! I appreciate the ideas.