HI There,

I'd also suggest soft tissue work and stretches on muscles that would be likely to contribute to excessive strain on the SCJ such as the sterno-cleido, mastoid, pec minor and major. As a swimmer myself the pecs can be tight and over active particularly in a freestyle or butterfly swimer. Deep neck flexor control also necessary given postural issues and if they're weak then SCM will become overactive also. Perhaps a couple of weeks off swimming and actively restricting UL ROM (eg put a sling on) will let everything settle and over stretched joint capsules and ligaments settle while getting stuck into the postural and base level stability exercises. Could be interesting.

As for taping i'd be more inclined to not bother or else you'd need to do a foam compression donut over the joint with elastic tape on the diagonal right around under the axilla on the ribs from the opposite side, across the contralateral SCJ and back around over the back (like wearing a long strap hand bag slung over the head/shoulder)!!! uncomfortable but might provide some joint compressive force. wouldn't be able to swim with it though.

Hope that makes sense!
msk101