I'm not sure about the max credit score you can have with a 60 day late but I know that the more trade lines that you have with positive history, the better. It may happen in 6 months but really score isn't correlated with time well, at least for me it wasn't. My score would go up when I least expected it. Wishing you the best.
Cards: Orchard Bank ($1100) | Cap1 Cash Rewards ($2500) | Chase Freedom ($1000) | Best Buy ($2500) | Discover It ($1000) | Barclay Rewards ($2500) | Current scores: EX FAKO: 684, CK TU: 649, FICO EQ: 680, FICO TU: 698, FICO EX: 658 Happy Homeowner Since 2/6/13!
Last App: 4/5/13 Gardening until July 2014