I've now eliminated most of the rest of the external annoyance factor, hunting around each week for a house ball that will fit my hand but not pull out my shoulder.
jezel gave me a ball that she had picked up at K-mart last year, at a "we're no longer selling bowling sporting supplies" sale, and Wednesday afternoon I had it drilled out to specifically fit my hand.
It's the difference between buying cheap ill-fitting off-the-rack clothes, and having something altered to fit.
Now there is only once source of annoyance left...
I'm not very good at bowling.