And because of that you should have some good team mates which will log on your new/old character and lockpick that trunk
try C88...
Or get your buddy/mom/son to log into the game on your laptop and you can log into it on your desktop.
An exp. pick set gives +50%, which would bring you to 78%. Not sure what the formula is, but that would probably give you a few % chance of picking it. Of course, you'll have to be very patient since the lockpick CD is 2 minutes.
Also, I know a lockpicker that could help you out.