OTR Co that will let me drive and operate out west?

So, you're a hillbilly like me. I'm from Tennessee.
If you want flatbed, then go for it, no need to wait. Flatbed companies hire new cdl school grads and train them on load securement, etc before sending them on their way.
Two coast-to-coast flatbed companies that hire new cdl school grads and hire in 48 states are:
Home | Paul Transportation | A Top Transportatio
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Premiere OTR Flatbed Trucking Company - Melton Truck Lines

 

Here's 2 more that hire new cdl school grads in 48 states and run coast-to-coast:
Thompson, Inc.
THOMPSON TRUCKING COMPANY. Thompson Inc. is an interstate carrier headquartered in Quincy, IL that operates in all 48 states.
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Home - Jones Brothers Trucking
Jones Brothers Trucking is a company that will deliver on its commitments. We are a flatbed shipping company located in Missoula, Montana and Muncie, Indiana.

 

https://www.buddymooretrucking.com/flatbed-1

AMX Academy - AMX

Truck Lines | Company Fleet | Shippers | On-Time Delivery | Wiley Sanders | Troy, Alabama

McElroy Truck Lines | Flatbed Truck Driving Jobs

Boyd Bros

 

I would steer clear of McElroy if I were you. They’re a strange, eccentric outfit. I would pick Melton out of those two.

May Trucking has a terminal in Pensacola, FL. You’ll run out west a lot with them as they’re headquartered in Brooks, OR.

 

If you want to see the country (Good & Bad), hire on to a Coast-to-Coast Reefer Produce Hauling company.

 

This. As long as you don't mind running in and out of California, you'll run across the desert a lot!

 

The desert is nice; I moved here from Tennessee.

 

Right, a good coast-to-coast reefer company.
May Trucking Company – Performance. Reliability. Leadership.
Home - KLLM Transport Services
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For flatbed:
Premiere OTR Flatbed Trucking Company - Melton Truck Lines
Home | Paul Transportation | A Top Transportation
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Those 4 will get you to the West Coast often.