
Nothing stops you from committing Dreams of the Deep to another investigator's test (the same is true of Arrogance by the way, which is very useful to be aware of especially in the mythos phase), so even in rounds were Silas's stats don't shine it should be possible to get rid of this. There are almost always locations to investigate and there's generally going to be someone investigating them at a decent value. It can even be worth taking 2 damage to move to them (you'll take the damage in this case because Dreams triggers at the end of your turn, not the end of the round) to give them multiple attempts to clear it. In a roundabout way, it can be compared to a double-action discard weakness.
Flashlight (or Old Keyring) also works well if you can find a shroud 2- location (and is a solid option in general for any low-book investigator to contribute to the game), as that neutralizes the effect of the negative icons.
Also note that you don't have to commit it to any given skill test. If there's only a round or two left before the scenario ends anyway, it's very possible to just tank the damage.
When deciding whether to use box-or-book signatures, it's also worth noting that this weakness gets softer the more investigators there are, as there are more people to commit it to AND a greater chance of seeing an enemy the round after you draw it.