Any time you are dismantling a piece of equipment, it is very helpful to take a TON of digital photos. (A minimum of one shot per piece removed). Then, you can USUALLY just re-trace your steps by looking at the pictures.
It might also be helpful to 'match-mark' every piece of lead before you move it. ('A' on piece being removed is next to 'A' on piece remaining stationary, 'B' on next piece being removed...).
This sounds like a scenario where you could use these techniques.
As the others have pointed out, you have to weigh the potential costs (damage, inability to re-assemble, etc) against the benefit (lower cost).