Additionally, the longer the dwell time between the initiation of the wrap cycle (twine or net don't matter), the more fines will get deposited behind the baler. All mine is sold to various customers that have horses and cattle as we have no livestock. Had a NH and traded it on a new Kubota BV and it's 100% electronic controlled so I can adjust not only the dwell time between wrap initiation and ejection as well as bale density. I run all my bales soft center and progressively increase the density as the bale grows. I keep my initial dwell time (from wrap initiation to wrap) as short as possible while still allowing me to stop the tractor and not getting the wrap under the hay.
Again, I suggest you alter your bailing regimen to allow the forage to collect a little dew. I have continual on board (in the baler) moisture sensing with a digital readout in the cab, I use a Delmhorst with 4 sensing shoes inside the bale chamber.
Rule of thumb for me is so long as the hay bales below 20% relative, all is good and no mold develops. Been doing this for decades btw.
This is an unusual year here with less than normal rain and high ambient temps which is why I altered my bailing regimen. Without the dew, I'd be in the same boat as you actually.
I also roll full diameter rounds which in my case is 65", plus or minus 4" depending on what the baler senses is wrap diameter.
I do like the ease of threading the Kubota with net and twine. Never liked the center threading NH baler. The Kubota threads from the left side. Takes but 30 seconds to thread and the Kubota carries 2 extra rolls of net on board under the side cover unlike the Nh and it runs 48 through 54 wide no issue and no adjustments either. Most times I run 50 over the edge as it keeps the bales intact when moving and loading with no material loss. Brand don't matter either. Presently, I have Bridon in the reel.