Use the Force Luke.

Draft Luke deck for the Dream Eaters. Get Hawk-Eye folding cameras/St. Hubert's Key and boost willpower/intellect. Zip around the map collecting clues and occasionally nuking enemies. Mr. "Rook" hitting your signature weakness shouldn't matter too much because it'll pull you off into the dream gate without spending a charge. Just be careful not to do waste a whole turn on this. You really want to upgrade those spells, hence the Arcane Research. Sixth Sense (https://arkhamdb.com/card/05322) is bonkers good and The Big Shriv (https://arkhamdb.com/card/02306) will solve many enemy problems. Upgraded Ward of Protection and Deny Existence are also great so you shouldn't have problems finding something to spend the free experience from Arcane Research on.