just from the looks of things, I don't think you are going to be able to repair that damage. looks like it popped a power chip and destroyed the surface a bit. these motherboards are multilayer even IF you manage to clean up the pads, I don't see it being enough to repair the physical damage surrounding the circuit paths. There are a couple of surface mount capacitors and transistors that will need to be replaced as well.
Hate to say it but it might be time to look for a new board and start saving up for it.
Desktop:
Motherboard: ASUS ROG MAXIMUS VI EXTREME
RAM: 32gb Ballistix 1866 DDR3
Chip: Intel Core i7 4770k OC'd Stable 4.8ghz
Water Cooling: Corsair H110i
Power: Corsair 1200i
Video: Asus STRIX OC'd GTX 980
Primary Hard Drive: SAMSUNG Pro 256gb SSD
55" Vizio HD display
Audio: Logitech Z5500
File Server: Dell Poweredge r710 1.3TB Hard Drive Storage 128gb RAM
Storage SAN #1: Dell Equallogic PS100e 14x 750gb SATA
Storage SAN #2: Dell Equallogic PS5000V 16x 1TB SaS