Interesting situation here, Justin. Fear not, I think this is a golden opportunity at the (container) door! You've already mentioned the reputation for the zone your hostel is set in as an entertainment district. So not only is the crowd next door potential guests... but the crowds frequenting every other venue in a 5-mile radius. I would become familiar with venue operators and event promoters in the area. You could potentially offer some sort of package deal (the property I work at offers a family-getaway package which includes aquarium/Imax tickets). Not to mention, if your container pods are sufficiently soundproof, you can offer a best-of-both-worlds scenario (convenience of location without noise disruption).
Can't hurt to get in with your region's CVB either. I'm sure they'd happily support a legitimate lodging option that encourages leisure travel. They may offer some attraction coupon pamphlets for your property too.