No time for a holiday, what to do with LTA?

Then you can carry it forward.
One LTA can be brought forward and claimed in the first year of next block.
Let's say you do not take your LTA in 2002-05. Or that you use only one LTA. This means you will be able to take the pending LTA in 2006. This means that, in the 2006-09 blocks, you will be totally entitled to the three journeys.
And if you switch jobs?; You can get the LTA not only from present organization but also from the former employer, if the concession is lying unutilized.
Let's say that, in the 2002-05 blocks, you claimed LTA in 2003. In 2004 you switched jobs. You can still claim your second journey with your new employer. Of course, your new employer will ask to look at your earlier tax returns to see whether it has been claimed or not.