Does the fast memory work normally again if you remove all of the Zorro expansions?
I gather you've got 32 x 1Mbit ZIPs fitted to the A3000. Are you saying that ZIPtest indicates that the first three 4MB blocks of fast memory is not working, but the last 4MB is showing as good? Please post the entire test output from ZIPtest here as it's not obvious what's possibly good or bad, or what aspect of the test fails.
If you briefly pull the _FAIL line low, does the fast memory then appear normally afterwards? You can do this by briefly linking U190 (real time clock IC) pin 2 to ground (the metal chassis) with the system running, which will force a hardware reset and initialise the fast memory controller (U890) to the correct power-up state.
Failing that, it may be worthwhile collecting more clues using DiagROM and using the 'Slow scan of 16MB fastmem-areas' to see what's going on. Again, post the test result here.