I'm not entirely sure I understand how your plan is supposed to work but here's two reasons why it wouldn't work. (Apologies for any inconsistencies in the transcript I'm using a version that isn't annotated and it's been a while since I've seen the film, let me know if there are any mistakes and I'll update accordingly.)
It's stated quite clearly that the Resistance is low on fuel and in fact they apparently only have enough fuel left for one jump or an extended chase through space.
Poe Dameron: Can we jump to lightspeed?
Leia Organa: We have enough fuel for just one jump.
Star Wars: Episode VIII - The Last Jedi
They may have only been using one ship to track at a time but all of the ships had the capability to track through hyperspace. This is why Finn and Rose's plan was so complicated and involved only turning the tracker off for one system cycle.
Poe Dameron: Just give it to me one more time, but simpler.
Finn: So the First Order's only tracking us from one Destroyer, the main one.
Poe Dameron: So we make blow that one up?
Finn: I like where you're heading, but no.
Rose Tico: They'd only start tracking us from another Destroyer.
Finn: If we sneak onboard into the main Destroyer and we turn off the tracker without them realizing, then we can...
As for the main plan of why they didn't scatter the fleet, well, I think it boils down to the same thing. The First Order would just send there's to follow each one and track each respectively. They might have a bigger chance i.e. one ship versus one ship but it'd still likely be doomed to failure.