You may be able to set up your own meet. Are there other runners from your HS who would be interested? Are there runners from nearby schools? Are there any running clubs with runners of a similar standard? Can you find people who could pace you?
If you can persuade your coach it's a good idea that will probably help with getting the use of a track and the required officials (starter, timekeepers, track referee), so that the times will be official.
If you can't do this, perhaps you can still do a time trial and video it, as Trevor Dunbar did in snowy Alaska.