In respect of horse riding, the Liability policy excludes liability arising out of equine activities and horse riding is not an activity that the insurer would wish to offer cover for.
For swimming and ice-skating, the insurer would not usually consider these activities to be conventional methods for teaching the Alexander technique. The teachers should have appropriate national governing body qualifications in place to teach swimming and/or ice skating and cover should be sought through the relevant swimming/ice skating governing body.