Never tried OH carries like that.
I have incorporated single arm OH carry variations, in the last few months, to improve a weaker left shoulder. I haven't used DB's, but use KB's a couple times a week. At work I have access to KB's up to 55lbs, on my break I'll grab a 25kb an arm and walk down the driveway ~900' - without dropping - and walk back up the driveway in a shrugged position. My weaker shoulder has gotten significantly stronger and doesn't feel unstable when OHP'ing closer to my 1rm.
I don't know the specifics of your shoulder injury, but I'd give them a try, just start light.