This may sound snobbish but it is actually honest advice.
Your budget won't buy a "hobby-grade" car, the type of car that most of us own here on RC Tech.
The cars you list are "toy-grade", basically they cannot be repaired, and they use non-standard electronics that can't be interchanged.
None of the toy-grade cars are really fast. The speed claims you see on some boxes are pretty optimistic.
However, the Tamiya QD is probably the BEST example of a toy car you could spend your money on.
Hope that helps.