No trees 😢

Yew and bamboo are supposed not to be susceptible to Honey Fungus. With a blanket bleak canvas you need to look at other plants you can grow. First you need to get all the black strands of hf out and then leave the ground bare for 6 months. In that time consider what you would like to grow. For height you could grow something up an obelisk such as a rose or clematis. You could also grow a small to medium tree in a large pot. If it’s a fruit tree it needs to be on dwarf stock. Don’t despair. There are ways round this.

Oh I am so sorry to hear this.
However. you can still get height in your garden with clematis and climbing plants - although certainly not tree height!
I have a little silver birch tree which I love.
I realise trees add another dimension to the garden and you will miss them.

I have seen fruit trees advertised which can be grown in a large barrel - don't know how successful these are but maybe something to think about.

Eucalypts grow very,very quickly and maybe that fungus might not like them ? Would boiling water kill it? I am not familiar with it so likely I am talking through my proverbial.