> How do you avoid a negative pressure in the house?
Proper
balance of the hvac system in each room. Beyond that, a fan blowing inwards, through a filter. Preferably controlled to just what is needed under current conditions (the authors of the link may know of specific equipment).
Some HRVs can be adjusted to balance for typical conditions.
I agree with keeping humidity low. Buy a humidity meter and check everywhere. For example, the outside of a cooling duct may hold moist dust.