Without more information on the type of product you're offering, your booth setup, and the type of show, it's hard to come up with ideas, but here are a few off the top of my head:
How about large-format pictures / posters of your product, which you can mount on easels or hang from the backdrop/wall?
If you want video, take multiple tablets or laptops, so when the battery in one runs out of juice, you can start up another. It would be worth asking if there will be electrical outlets available; if so, you can plug in the tablet and run it off AC power which will eliminate the battery issue. (And if there will be available outlets, be sure to take a long
extension cord powerstrip. You never know how far away those electrical outlets might be.)
Do you have a corporate mascot of any kind? Could you dress someone in a mascot costume? Since it's a sports-related show, would it be appropriate to have booth staff in sports-related uniforms or gear?
Don't know what your product is, but could you possibly mock up part
of it to include in your display. For instance, let's say your company's product is upscale customized RVs. You could set up part of your display to resemble the "living room" area of one of your RVs, or have the backdrop look like part of the outside of one of your RVs, with the booth area looking like the outdoors living area (extendable sun-shade roof overhead, astroturf underfoot, high end outdoor furniture arranged around a portable firepit, big-screen TV mounted in a niche on the side of the RV, etc. -- or whatever would be appropriate for the lifestyle/income level of your customers).
Just spitballin' here...