Mike Lynch (a.k.a. Ukulele Mike) has many, many ukulele videos posted on YouTube and is definitely a friendly resource. He plays a standard GCEA tuned ukulele. But you'll notice that there is no mention of ukulele type or tuning. Here's a link to his blog post with the TAB yo get you started.
So we have a Boogie Woogie sound that is equally viable on the baritone ukulele. I notice that many of the old blues guitarists would use some short Boogie Woogie riffs in their playing. This BW is in the Key of G on a GCEA uke, but for the DoGBonE tuning it would be a boogie in D.