I don't see why the second edition wouldn't have the necessary files on it.......Aspi versions can be updated outside of the operating system.
More info:
Hunting for ASPI Drivers
Either the original ASPI drivers installed with Win95/98 or the newest version of the ASPI drivers from Adaptec now support both ATAPI and SCSI drives. The install program from Adaptec checks an entry in the Registry before installing. If you don't have EZSCSI or an Adaptec SCSI card installed then these drivers won't install. In that case have a look at one of the files below that will install. Once the new drivers are installed on the machine, the driver checks for a specific registry entry during the boot up process. If the entry is there, then ATAPI access is allowed through the drivers. If the entry is not there then only SCSI access is allowed through the drivers.
The first thing to check is to make sure that you have a fully functional set of driver files. Adaptec has produced a tool called ASPICHK which will tell you all about the health and version numbers of the drivers on your system.
ftp://ftp.adaptec.com/pub/BBS/win95/aspichk.exe
And to extract them from the Operating system cd:
Restoring the driver files from the original Win95/98 installation CD or disks
If all else fails you can restore the ASPI drivers to the files that came with your Win95/98 disks.Once you have extracted the files you can just copy them into the appropriate locations and reboot.
For Win95 here is an example:
extract /e d:\win95\win95_03.cab wnaspi32.dll
extract /e d:\win95\win95_03.cab winaspi.dll
extract /e d:\win95\win95_03.cab apix.vxd
extract /e d:\win95\win95_03.cab aspi2hlp.sys
For Win98 here is an example:
extract /e d:\win98\win98_40.cab wnaspi32.dll
extract /e d:\win98\win98_40.cab winaspi.dll
extract /e d:\win98\win98_47.cab apix.vxd
extract /e d:\win98\win98_46.cab aspi2hlp.sys