Hi again, Joe B. We have had others in our community experience this very same issue when using supplemental oxygen at home. You may want to inquire of your equipment supplier (recognizing that you've already told us they leave much to be desired) about a simple humidifier to attach to the oxygen device. Sometimes the oxygen can dry our the nasal mucosa and cause a runny nose. The humidifier generally takes care of this.
Warm regards,
Leon (site moderator)