I think you can use the filler to do that - or just soak the nib in a cup of water, rinse it, and set it on paper towels to dry.

As to the cheapies, well...that's why I only buy real pens now...too many ink stains.

And yeah, theft stinks. It still niggles at me, a bit. Except that I also know how incredibly lucky I was that the thief went for that pocket, and picked that item. It could have been so much worse...