Running Power Only? CA - FL

Are there any Power Only companies with drop and hook loads?

I'm looking to do something with Publix that's the only customer I know have that gets a lot of loads off the 101 up north near Monterey County and occasional Central Valley pickups. Backhauls were usually chicken from Georgia. I don't think I've ever gotten a backhaul from Florida.

I'm tired of reefer live load, completed a 34 waiting for Shamrock Food in Phoenix to unload among many other horror stories. Bay Area shippers are on the money because there's limited space for a line of trucks to be waiting on the streets like I've seen most Amazon warehouses.