If there was an EVAP leak it should manifest as an gross vacuum leak, and set a code as such.

Vacuum leak in general I wouldn't think would cause the stalling with such repeatability.

Have you pulled out a plug when it stalls out to see what it looks like?
Also, when it is stalling, does flooring the pedal do anything?

Let me make sure I understand whats going on:

You start the car, if you're going sub-highway speeds it stalls out.
If you're going highway it sputters, but usually doesn't die.
2-5 minutes later the car is OK to run, and has no problems until you let it sit and cool.

One last random question, how old are your plug wires?
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If you're not driving it "like its stolen," are you really driving?