When I think of relatively cheap, I think of Phoenix/Hawk Point with 780M graphics which are near $300-500 (depending on barebones or not). TechPowerUp is telling me the 1660 Super is 59% faster:
So now we have to move to Strix Point and 890M graphics, which should also be slower than 1660 Super.
iGPUs are getting better, but unless you opt for Strix Halo (not cheap), they are still relatively slow. Only way we could pretzel twist this is if FSR4 comes to RDNA 3/3.5 and turning that on makes it better than DLSS-less 1660 Super. But that hasn't been announced yet.
I think there are some mini PCs with AMD discrete mobile graphics from Minisforum and others. If you found something with the RX 6600M 8GB, that should be faster than the 1660 Super. I don't know the pricing, it's probably over $600 though.