With mechanical (cable activated) disc brakes, typically one brake pad is stationary and the other, movable pad, compresses the disc against the stationary one. With these systems you can usually adjust the distance each pad is from the disc. You basically have the following options:
1. Adjust the pads so they are further from the disc which will give you more tolerance when you remove and reinstall the wheel but may give you reduced braking performance.
2. Carry a 5mm hex key and muck with the caliper mounting bolts in accordance with the site you linke to, each time you reinstall the wheel and find the brakes are rubbing. This should get the brakes to stop rubbing but can be a pain and the possibility exists that if you are not careful you may strip a post the bolts thread into.
3. Carry what ever other tools you need to adjust the clearance of the pads once installed. Possibly a little more time consuming but less chance of stripping something.
4. As an alternate method to what the site you linked to suggests...take a playing card and cut it in half. After loosening the caliper mounting bolts slide the 2 pieces of card on each side the disc between the disc and pads...squeeze the brake lever and at the same time tighten the caliper mounting bolts. Remove the pieces of card and check for rub by rotating the wheel...with a mechanical brake system you may want to glue two pieces of card together for the inner pad.
The problem is that incredibly small gap between pads and disc and the lack of tolerance in the fabrication of the fork dropout and hub axle.
With hydraulic disc brakes a quick fix is to set the tension of the quick release and then let it hang open, grab the brake lever and while squeezing tight close the quick release...but hydraulic disc brakes have pistons that operate the pads that retract. Your mileage may vary if you do this with mechanical disc brake because the inner pad typically does not move as mentioned above so this technique might just cause the disc to be pushed and set against the inner pad causing the problem to be worse.
Disc brakes tend to be fickle. Good luck.
-j