Whatever is making the system lockup is probably caused by either a hardware conflict or module problem.
Here is how I would approach it. Boot into your laptop's BIOS, and disable as many built-in devices as you can (AUDIO, LAN, iR, etc).
Then reboot into slack. Sure, you won't have a NIC, but see if it boots now. If it does, now go back into the BIOS, and re-enable just one device at a time, probably starting with your NIC. See if it boots. So on and so forth.
Assuming slack boots with all devices disabled, you should, by using this process, either isolate the problem to a single piece of hardware, or a combination of hardware. For instance, you might find that slack will boot with the NIC enabled, or with just the AUDIO enabled, but not both. If that's the case, take a look at the BIOS settings for Plug-n-Play OS, and "reset configuration data".
Post your results.