Tyler
What you're experiencing using these bags in your Dirt Devil hand vacuum is normal. Those bags are plain paper bags with no micro-filtration lining, so it is normal for them to hold the dirt but spew dust into the outer bag.
I highly doubt there would be a micro-filtration or HEPA Cloth bag made for this Dirt Devil. Most aftermarket brands tend to offer the same style of bag the cleaner was originally sold with & meant to use. If you want to upgrade it to a HEPA Cloth bag, what you will have to do is find a long, skinny bag, cut to length, line the outer cloth bag with the HEPA Cloth bag & then install the outer bag onto the vacuum. Same idea as what I do with my TriStar CXL, line the support bag with a Kenmore 5055 HEPA Cloth bag, or like what Tom Gasko suggests to do with Airway/Vita Vac canisters, line the bag chamber with a Simplicity Freedom F bag & use the plastic bag top.
Hope this helps you out, & whatever bag you use, make sure you post here what style of HEPA Cloth bag you used. I'm sure a LOT of Dirt Devil handvac owners that use bags would appreciate knowing that info.
Rob