I thought of that, nope, even made sure I wasn't running the washer at the same time the last few weeks. I never had this problem at the old house. I'm thinking maybe I crossed a wire or something this time, I had to take out the drum in order to fix the stupid vent thingy.
I'm no electrician, but it seems to me if the dryer keeps blowing the fuse/circuit breaker, that usually means an electrical problem rather than a mechanical/vent related issue.
If your dryer is electric-fired, you'll likely be running at 220 volts, so your washer won't impact that at all since it runs at 110 volts. If, however, your dryer is gas-fired, it may be running at 110 as well. But most of the time, electricians won't wire major appliances like that on the same circuit for the reasons you're finding out now.
Do you hear anything out of the ordinary? Maybe the drive/drum belt is being impeded and the extra load on the motor that turns the drum is causing the motor to overheat and thus trip the breaker.
It sounds like you've cleaned out the lint problem altogether (lint is a major source of problems) so I'd doubt that it's lint issue.
Failing that, it almost has to be an electrical issue and the only way to troubleshoot that sort of thing is to test it or identify an obvious problem like an overloaded motor. Hope this helps....