Any bilateral (two-sided) press variation places greater demand on the body to get into a safe, optimal overhead position without adding shear force on the spine. Pressing directly overhead (as with the strict straight bar variation) requires a combo of shoulder and thoracic mobility.

Since most people lack these prerequisites, this single-arm landmine variation is a great alternative. Leaning forward into the press with your torso and arm angle at a similar diagonal line reduces the range of motion your shoulders have to go through in an overhead position. It also minimizes hyperextension in the lower back, taking stress out of the spine.

You can do this variation with or without a resistance band. The band simply has more resistance during the lockout of the press.

It's easier (from a mobility perspective) to do overhead lifts in a staggered or half-kneeling stance as opposed to a bilateral standing position. What's more, a neutral grip (palms in) overhead position is safer on the shoulders as opposed to a pronated (palms forward) grip as seen in the strict barbell press.

The overhead trap bar press looks funky, but it's pretty damn awesome. It'll feel less shitty on the shoulders in comparison to strict overhead bar presses.