Hi Ted!
I have a few raised beds and the same problem. I would re-use what you have in the beds and top-dress it, because that allows the soil to develop. Your earthworms and other buggies will make sure the stuff mixes. In my really tall
raised bed, as filler I shoved strawbales in the bottom. It's NOT good for nutrients (initially, must decompose first) and so I had to compensate with fertilizer (blood meal), but when your raised bed is 3 ft high (to prevent/discourage bunny entrance), it worked! Also, I add brown paper grocery bags, recycled/bleach-free paper towels, empty toilet paper rolls, and the occasional paper napkin to my compost and try to compensate with nitrogen rich other stuff (which is usually our leftovers) to make sure we strike the right balance. Sometimes you can ask tree trimmers for
wood chips. In my neighborhood, you can gather your neighbor's
lawn bags or leaves. In some places the
local waste treatment plant has compost....of
course, you're not asking about that. They say no putting of dog
poop or
humanure in composts because of the threat of pathogens. I have a few wild areas that I hack at every few months and gather the debris for compost. It comes back. There are also a few perennials you can grow for the occasional food and biomass, that are good nutrient accumulators. I use horse radish because we like it occasionally, it's
perennial, pulls nutrients from deep, and I have no qualms pulling off a few leaves here and there to get some extra biomass.
Good luck!