Bauer Media Group would be the most likely media institution to distribute the magazine product because:
1) Bauer Media Group already publishes similar magazines like Q and Kerrang! that the product takes influences from in terms of format, layout, and variety of musical artists featured.
2) The product is designed to appeal to the same target audiences of 15-30 year olds that read Q and Kerrang! by including gossip, reviews, and profiles of popular artists.
3) As a mix of genres like Q and Kerrang!, the product could work as a limited edition or weekly version to keep readers updated on the music world regularly, fitting Bauer Media Group's model of regularly distributed magazines.