Are you saying that because iTunes keeps playing you are getting cross-talk when you switch to the TV mode ?
If you wanted a permanent solution I would recommend you look at a masterlink connected BeoPort combined with LinkPlayer software on the Mac.
But that is an investment that you might not want for an experiment !
First B&O (1976) was a Beogram 1500 ... latest (2011) change has been to couple the BL11 with the BL6Ks *sounds superb*