I saw this board and I couldn't help but try KC-KC-Bridge-Bridge-Bridge. I trashed stuff with Steward and used a Tactician turn to bring it all together.
http://dominion.isotropic.org/gamelog/201206/28/game-20120628-214748-16a8d303.html
As this is the first time I got the KC-Bridge megaturn to work, I piled the provinces because they hadn't been touched. Amazingly, my opponent didn't see it coming. Could I have connected this faster if I hadn't bought Lighthouses?
Your choice of buying lighthouses had little effect. Your choice of KCing lighthouses over bridges probably set you back ~2 turns.
On turns 12 and 13, I had this choice. On 12, I was going to tac my hand anyway (hoping for megaturn on 13), and couldnt pick up another kc (I guess maybe more bridges, but I had lots of those), so I went w/ the duration money. On 13, I had one kc and 4 bridges in hand with the lighthouse. I could have gone kc-bridge, bridge or kc-lighthouse, 4 bridge... did the latter again for the duration money.
Turn 13 had no effect, but maybe turn 12 did. At the time, I was more concerned that the lighthouse on turn 13's tac hand could have been the kc I needed to megaturn in the alternate universe where I didn't pick up two early lighthouses.