Hi
Yes you can run with the Intel HD Graphics 3000 and ignore using the AMD graphics. And no you can't run windows 10 on the laptop even with ignoring the AMD graphics drivers.
I would hope the technician installed the HP image for your laptop. If you are hunting down drivers i suspect it was the same method you used.
If it was the HP image and the AMD graphics are not working then it is a hardware fault as was suggested earlier.