This is how I did a similar thing. I have tiles that are thumbnails to YouTube videos. When I click the tile, it redirects me to a 'player' page that uses the 'video_id' to render the correct video to the page.
<GridTile
key={video_id}
title={video_title}
containerElement={<Link to={`/player/${video_id}`}/>}
>
ETA: Sorry, just noticed that you didn't want to use the LINK or REDIRECT components for some reason. Maybe my answer will still help in some way. ; )