Good ideas, but I think you are misunderstanding how it works a little bit. I wrote no code of this BASIC interpreter. It is a 6502 program that already existed. I only wrote a 6502 CPU emulator that runs this interpreter. I have no way of knowing where in the 6502 memory space the relevant BASIC program information is, otherwise I might do it. This of course means I have no way to auto-load a program and start it either.
I would have to do all 6502 memory space read/write to the EEPROM, and it could be writing to memory constantly depending on the 6502 machine code being run. It may wear out parts of the EEPROM in a matter of seconds actually! 
Besides, the BASIC interpreter I'm emulating is really just a simple demonstration for the core concept, the 6502 emulator. I do like your ideas, they just aren't possible to implement with the way this thing works.