No mulligan for me, that looks like an excellent starting hand. In my first turn, I plan to play Dr. Milan Christopher and then iInvestigate twice. It might be best if you go first, so I can see how many clues you're able to obtain before my turn. If you get one Clue, I can use Deduction to make sure I get three (barring a tentacle result). If you can get two of them, I'll save it for the Cellar (where the Flashlight will also be useful). Daisy's a Clue-finding machine! She'll also be good at Parleying with Lita at the end.
Currently, I'm almost done my solo run of The Gathering with Roland Banks. I've done very well and I just got to Act III, having gotten the Cellar Clues by defeating a Ghoul Minion there and using my special ability and Evidence. I lost my Dynamite Blast to a chill, unfortunately, but I still have two bullets left in my .45 Automatic. I just have to hope I hit with both of them. I also have a Beat Cop in my hand and will have enough Resources to play him next turn if I can't finish off the Ghoul Priest this turn.
EDIT: Well, I almost won. Both bullets hit, and I did 4 damage to the Ghoul Priest. I realized I couldn't play the Beat Cop, since the Ghoul Priest would have hit me with an Attack of Opportunity, so I had to attack unarmed, but I used the Beat Cop for the Combat boost. However, I missed by 1 point. The Retaliate ability caused it to hit me, and then it hit me again during the Enemy phase, driving me insane.

If I'd held onto the Dynamite Blast...I still would have lost. I didn't have enough Resources to use it, and taking an Action to get another would have gotten me hit.