What Trucking Company Would Hire Me?

I am interested in a OTR career but I do not have a clean mvr. I have 13 years experience driving various tractor trailer configurations and 30 years exp. driving specialized straight truck configurations such as drilling rig carriers and such but I have never driven for an OTR company.
I have had 2 DWI’s(non cdl) the first being in 1987 and the last in 2004. no accidents, or moving violations ever. I have since sobered up and do not consume any alcohol and/or drugs or tobacco products and am looking towards my last good 20yrs. of work before I retire.
I have a valid CDL A with t-n endorsements(adding x soon)a current medical card and a current TWIC card.
Is there a company that would be interested in giving me an opportunity to drive for them?