Feedstock
Use the freshest feedstock before most of the moisture and nitrogen leaves.
I would recommend that you limit your inputs to just raminal woodchip aka woodchip from branches that are less than 2 inches thick and all of their leaves. Another idea is to reduce the amount of woodchip even more and include more grass clipping and smaller diameter yard waste. they have a lower carbon to nitrogen ration even bone dry (thing straw or hay).
Other Variable.
Rain/Temp. If you can keep off the cold rain, the
compost will be more active.
Time/Temp. Wait until Spring/Summer to do 80% of your composting and just coast thru winter.
Oxygen. Turn the piles to get enough oxygen everywhere in the system
Soil Life. Maybe you have to get he bring some soil life mix from somewhere that is doing better locally.
Water. If the compost is setting in water, you have have to dig ditches to send the water elsewhere
Elevation. You could also raise the elevation to keep the compost drier.
Iterations are fine, we don't have to be perfect
My 2nd Location:Florida HardinessZone:10 AHS:10 GDD:8500 Rainfall:2in/mth winter, 8in/mth summer, Soil:Sand pH8 Flat