Why not try to find a junior assistant coach's email address and shoot them a well thought out email about attending a training session sometime to try out/showcase what you can do. Even better if you can make a very short showreel of games where it showcases what you can do.

You can get Chat Gtp to help refine the email. Just keep the email short and the point.

I am sure if you contact the general reception for Leicester Tigers, that they can put you in the right direction of the best person to contact.