Fireman's Carry Without Grabbing a Leg
Load opponent, subtly pulling sleeve down and leaning in with the hips away, outside leg in the back. leaving space. (Outside is left in this instance)
Kuzushi by pulling arm and shoulder tightly up and across your chest, sleeve arm crossing under the lapel grip. Simultaneously launch forward with your outside rear leg while dropping and turning into your opponent
This should effectively leave you dropped in front of your opponent while arcing his body over your shoulders, perpendicular to the direction you are pointing in.
As you feel your opponent going over, keep tight and drive your shoulder into him, dropping with the opponent to maintain control.