So, I have gotten it working. I switched it to the board of NFL 95, which has a larger SRAM chip (a CXK58257AP) which is four times as large as the one in NBA 96. This is larger than necessary, but too large apparently is not a problem in this case(some of the SNES games have copy protection that reads the SRAM size and will halt the game if it detects it's not the right size).
For the record, NFL 95 has ram from 200001 to 20FFFF.
Thanks a lot!
