If the monitor driver is the cause (I seriously doubt that) try NOT installing the monitor diver. The system works just fine without specific monitor driver. You can install the driver AFTER you installed the windows 98 SE. Here's the link for the driver package you need in case you don't have the monitor driver for Windows 98:
http://members.driverguide.com/driver/detail.php?driverid=61789
You will need to register there. It's free of charge.
P.S.
You can set you system to "apply changes without restart" at display properties/settings/advanced/monitor (or was it /adapter, can't remeber). That applies to the resolution/refresh rate/colour depth changes. I think a monitor driver change results in some of those changes, therefore making your system reboot.
That was for the monitor driver.
Now, the safe mode only situation....
Looks to me that the monitor driver is the least of your troubles.
You will have to post to me what you see in device manager.
Rightclick my computer, select properties, and click on device manager tab.
All the problem device's (read: lack of needed drivers) will have yellow triangle with exclamation mark in it.
Please, take note of :
- device(s) type (ex. "display")
- device name (ex. "ATI Radeon 1600")
- error code (that you will see if you select the problem device you see and click on properties button)