This is a problem for every x86 operating system.
If you are already running an operating system on an Intel vPro (VT-d, TXT) laptop, you can likely run Qubes on that hardware.
If you are concerned about the Intel ME, you would need an Ivy Bridge vPro device like the Lenovo x230, plus skillz [0] that improves the security posture of all operating systems, including Qubes.