Flatbed

For starters you might look at Maverick in little rock. Others will chime in with other options.

 

System Transport
Universal Truckload - hauls military loads

 

YouTube

 

Roehl had excellent training, not sure if they still do.

 

TMC has always had a decent reputation as a place to start. Britton Transport has a finishing program too. Really small company with only one flatbed trainer though. Britton also has a more restricTed hiring area than the other recommendations you've gotten.

 

Melton and TMC I would also recommend but I know there are a number of anti-TMC members here but I think a lot has to do with where your home region is. Been a while since I was at TMC so I'm sure things have changed for the better and/or the worse so I can't speak from recent experience.

If you can make a good hand at TMC for a year, you can punch your ticket anywhere given they are still highly respected by other carriers it seems. TMC will not tolerate sub-standard performance and will train right. But so will most of the other outfits like Melton and Roehl and BTC

 

TMC has excellent training program still, been with them for almost 2 years

 

Why are those companies rejecting your applications?
Try Jones Bros. Trucking in Missoula, MT