Flat Bed Starter Companies No "Team Training"

I recently got off the truck at PRIME and refused to continue training during TNT because I felt unsafe to drive due to lack of sleep, my body would not adjust to sleeping in a moving truck; I expressed this to my trainer as well as my fleet manager to which they suggested I take Zzzquil to help me sleep which I did but the Zzzquil left me too drowsy and confused to drive for hours. I realized pretty quickly that "team training" is mostly in the benefit of the company and the experienced driver because as long as you can operate the truck safe enough the A seat driver will sleep but the 'less experienced' driver is placed in a compromising situation causing them to drive while tired. Im not a complainer nor do I shy away from hard work. I have no problem driving 11, doing load securement or any other trucking related duties but I refuse to put my life or anyone else on the roads life at risk because the company wants the truck rolling at all times as long as they have two people on there which implies "team driving' rather than training. Are there any flatbed starter companies that run solo training trucks? would switching divisions help? I am located in South Florida.

I like trucking but not enough to die or go to prison for it.