That sounds insane and pretty fun, I'd be up for it.
1. After looking over Blink Dog... Yeah I think that works. Dimension Door is fun and could be used in interesting ways, Blink is pretty powerful but also works as a debuff. I would rule that you can't use both on the same turn and use the ability's as a immediate action. Dimension Door also may not work everytime because... Dungeon stuff. Probably still works 95% of the time.
2. Doesn't apply anymore.
I would prefer the normal factotum in this case.