As for as I know potatoes aren't affected by honey fungus, so that is probably a separate issue (not much comfort there!) We have had a few threads discussing honey fungus:
David Livingston helpfully posted a list of more resistant plants
here which might be worth taking into account when you do planting.
Dan Tutor discusses it in
a hugelultur thread
As a professional landscaper and gardener, I can assure you that honey fungus is not a threat to any annual in your garden, and probably very few woody perrenials.
I have often collected honey mushrooms from spruce stumps around gardens and orchards, and I've never seen any ill effects.
Where I live, it primarily attacks dying spruce trees and their roots and stumps. The mycelium is faintly bioluminescent, and the mushrooms are delicious and easily preserved through drying, although some people may be allergic.
It sounds like spruce is one of honey fungus' favourite foods, so if you have a lot of dead spruce stumps the fungus will be quite happy. Usually we want more soil fungus, but it your case you want to reduce it - so tilling would be one suggestion - breaking up the fungal network.
You could try using a fungal innoculation mixture when you plant new shrubs and trees to make a competing fungal network that might crowd out the honey fungus.
Some web research pulls up some hope: From
https://www.sasa.gov.uk/rd/pest-pathogen-diagnostics/armillaria:
Six species (A. borealis, A. Cepistipes, A. gallica, A. mellea, A. ostoyae and A. tabescens) commonly occur in the UK but of these only two (A. mellea and A. ostoyae) are considered to be pathogens that can infect and kill healthy trees. Identification of the separate species using traditional techniques is very difficult and even the use of modern DNA based methodologies has not lead to the development of a rapid, cost effective assay. This leads to trees often being removed as a precautionary measure on the assumption that the two pathogen species that is present.
So it sounds like there is honey fungus and
bad honey fungus you may have an innocuous form happily feeding on the dead spruce. It may be worth getting a tree expert in to look at the oaks - there are quite a few other things that could be causing them issues see
oak dieback for example.