Olivier well I only have a 1, 2, 3, 4 count in so the whole band starts together where it sounds like you want to play for a different amount of time at the beginning of each song so unless you know how long this will be so that you can time stamp your lyrics accordingly, im not sure just a count in will work for you.
I have something like the following set up (for a song with a bpm of 96) and also have a backing track set up with an audible 1, 2, 3, 4 count in which all starts after i press play.
[00:00.00]# 1 [00:00.62]2 [00:01.24]3 [00:01.86]4
[00:02.48]INTRO
When timestamping the song I have to use the scroll to start at or as close to 2.48 as possible and then start the song and time stamp it all from there. It’s a little tricky but works well.