There are near zero laptops with removable graphics cards (unless integrated
graphics in the CPU count). Unless you have a 2" thick "gaming" laptop it's
integrated on the motherboard and removing it isn't possible.
It's unfortunate, but it might be time for an upgrade. This time around look
at systems without AMD ATI and NVIDIA. There is poor to no support in free
distributions. You really need to stick to Intel CPUs without NVIDIA or ATI
graphics (which then means you'll have Intel graphics essentially).
On the BIOS front I'd be highly doubtful that the BIOS has an option to
disable or switch to using the CPU integrated graphics. These options are
more common on desktop boards, but if you do change it the OS might not
recognize that change anyway. Physical removal is probably required. A
configuration change might work too. Off the top of my head I can't think of
how to do this. It's not something I'd have had to deal with much at all and
definitely not for 10+ years.
