Would Loving County (pop. 67) get two senators and one congressman? Leaving 64 folks at home to take care of the cattle and tend the pumpjacks...
Not Loving County by itself, but SouthWest Texas could with a State capital in Midland-Odessa.
The Texas Panhandle could be its own State within the Texan Confederacy and send two conservative senators to Washington. The Panhandle has as many people as Wyoming did in 1990.
At the very least, Texas could have as many US Senators as New England does (and New England has half the population that Texas has).