Can list results usng 'orderBy' => 'RAND()', be altered by having High Priority records?

I have a slideshow that is being populate with list records. There are more records that the user wants displayed, so we are limiting the output and generating the records randomly.

Now the client would like the ability to set a priority on one record so that that record will always display as the first item in the list.  Is this possible, and if so could someone steer me in the right direction? My PHP ability is severely limited.