Most people muzzle themselves when holstering/unholstering a strong side OWB, too. There's a way to do it, and a way to not do it.....just the same as shoulder holsters.
Shoulder holsters have several disadvantages but there can be an appropriate use of them, as being discussed here where a medical condition precludes carry in a more conventional position. That does not mean they're "bad ju-ju"....it means the downsides should be considered and mitigated, if possible.
Otherwise it sounds like the OPs only other solution is to not have a gun at all....