Multiple music onto separate tracks all at once.

I'm adding music STEMs to multiple timelines (hundreds). There's between 4 & 7 STEMs per song. Each song will have their own timeline with each songs STEMs on separate audio tracks.
My problem is I'll select all STEMs for a certain song, right click and choose "Create New Timeline using selected clips". I input the number of tracks in the new timeline dialog box and click Okay. The issue is, all the STEM tracks get put on the first A1 audio track one after the other.
IS there a way to make each go onto separate tracks top to bottom instead of the first track left to right?
My problem is I'll select all STEMs for a certain song, right click and choose "Create New Timeline using selected clips". I input the number of tracks in the new timeline dialog box and click Okay. The issue is, all the STEM tracks get put on the first A1 audio track one after the other.
IS there a way to make each go onto separate tracks top to bottom instead of the first track left to right?