i have included the wiring diagrams as an aid for you during your testing. Fuse 5 feeds power to rear window defrost switch, turn signal flasher(in the inside fusebox), daytime running lamp module(if equipped located near the left headlamp-see image below), trans range sensor(located on transmision), as well as the blower motor relay(located in the underhood fusebox). I suspect ,since it doesn't blow untill a few minutes after being started, that the short might be in the wiring under the vehicle where the harness runs to the trans. I would inspect the harness underbody for any spots where it might be rubbing on the transmision, on the frame or any other grounded metal surface. If the initial inspection of the wiring doesn't prove any obvious faults, then i would unplug each component in the circuit one at a time and see if the fuse still blows, once the fuse stops blowing then likely the last component you unplugged is at fault and you should reconnect it to see if the fuse blows then, if so then replace that component.
location of DRL module
wiring diagram for fuse 5 power distribution
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