This video shows how to do BGA reworking without solder masks, reballing pads and other special (and expensive) stuff. Just standard SMD soldering equippment is used.
IMPORTANT: Because I was asked several times: DO NOT try this, unless you have LOTS of experience in soldering! It might look easy, but it isn't. If unsure, get an old mainboard/phone/... and try, before working on your broken device! Invest the time - it will be worth it.