I'd make it a heavy suppression weapon with set-up time and low damage (around 95 supression damage | 35 dmp). The weapon could have visuals like an Assault Cannon (only 3 barrels) and have the fire effects of the Sentinel's Multilaser (with blue colour).

Also, it could drain Daemons energy on hit, since that's their role in the board game (bloodelletrs, bloodcrushers, Great Unclean One). So that Psilencer deals not only hp damage but also energy damage against them.
It could be an option for Tier 1 Purgators, replacing the three Incinerators for Three Psilencers. Of course, if this weapon is going to be suppressive, the Incinerator should be not and could have a slight damage increase in exchange.




