When I had a gall on my Golden Celebration I put a bleach solution right on the wound after I cut the gall out. Didn't seem to bother the rose at all.

I have heard of artillery fungus from use of wood bark mulch that you can't remove with anything.

Seil, I've read that a bleach solution can burn the leaves, and perhaps I could have cleaned it carefully this way before my roses leafed out, but I'm afraid to do that now. I do use bleach to clean my pruning shears, so I do agree it wouldn't likely kill the plant, but I don't want to burn the leaves.
Fortunately I don't use wood bark, only pine needles, and I can clean it off with chemicals in other areas of my yard, but afraid to use those chemicals here. So I know it comes off, I was just hoping there was something know to be safe?

What about baking soda? http://www.thenewhomemaker.com/cleanorg/soda.html

http://www.maids.com/blog/3-non-toxic-ways-to-clean-mold/

I'd use plain unscented vegetable soap, cover what I could of the roses with a sheet, scrub, and then use clean water and a cloth to wipe down the fence instead of hosing it off.

Baking soda! Why didn't I think of that? That should take off mold, and not be harmful. I'll try it on a small section and make sure the roses don't mind, and then do the rest. Thank you!
Vegetable soap? I didn't even know there was such a thing! Can you tell me where I can buy it?

Well, I don't know about a local source - I buy it from the supermarket. There are a number of different varieties, but the most common over here are olive oil soaps, aka castille soaps. I think Dr Bronners is a common brand? I suspect most health food/supplements shops would carry it, wholefoods too probably. It's a really common ingredient in 'natural' aphid sprays, so some garden centres carry it too, marketed as a cleanser.

If the mould doesn't shift you could try a tar acid cleanser, like Jeyes or Armillatox, but they're a bit more ferocious and you'd definitely want to protect your plants as best you could from splashes, and wear protective gear yourself.

Bon Ami powdered cleanser works great on outside plastic, gutters & paint, applied & wiped off with damp paper towels, rag or sponge, scrubbed with a soft brush for really built up grime, any residue rinsed off. The original with the red label contains tallow - animal fat - but the gold label has vegetable fat soap from coconut & corn. I've used the gold label for years on many surfaces, inside & out. Might use it for any stains the baking soda doesn't easily remove. Contains vegetable oil, feldspar, limestone, soda ash & baking soda. http://www.bonami.com/index.php/products/powder_cleanser/

Another good idea! That might even take out a scuff mark due to the lawnmower getting too close! I'll get started right after finishing planting. I'm a bit behind, and want to get my planting done before it gets too hot.

Baking soda has a mild effect on mold but the sodium is bad for plants, bleach definitely kills mold but it's toxic to plants. The safest product is 3% hydrogen peroxide.

I'm going to have to look at the label of a Scotts outdoor cleaner and see what is actually in it! It may be some of these cheaper every day products! Thank you all for great advice.