Though highly unlikely, it is POSSIBLE to obtain color level black in 3 games. By winning 2 Castings games (easily done with activity) you will have 30 karma and 40 Ts. This is enough karma for color level orange which will get you into Survivor. The only problem is you need a total of 70 Ts for the 2 color levels and another 20 Ts for game entry. So after game 2 you would have to blog, bid, design, etc to get those 50 additional Ts you would need.
Once in Survivor, even though you merge and merge it only counts as 1 game. You would have to merge 32 times to obtain the karma needed for black. You would also end up with 320 Ts from the game... so you'd have to do some blogging, desiging etc in the mean time to pay for the new color levels.
In total this should take approximately 8 1/2 months.