You could try to turn off all of the articulations that you don't like to use from the Articulations Menu in the Drums Tab. Make sure that both edge, tip, bell etc. are turned off. Now other articulations will be triggered as substitutes for those that you don't want to use. If you turn off all Tight and Closed articulations for example, these will be replaced with open 0. Then go to the Hi-Hat & Snare CC tab in E-Drum settings and click the Hi-Hat Pedal Control button. Now use the sliders to adjust the response.
Maybe you could adjust the adsr-curve for the articulations that sound too open to make them sound a bit less open? The adsr-curve is found in the Envelope and Offset property box in the Drums tab.