Important things to consider: He addicted Dinah to drugs for the purpose of easing the headaches she got from use of her power and to establish a leash(she wants the high/she answers the questions/gets the candy). Now, Taylor's power can create headaches if she stretches too far, but a similar, though different approach may work here. And he does have money, so hell, contacting say, Toybox and getting a drug that makes some docile, pliable and submissive(not that way, before anyone pursues the Coil is a creepy pedo line) wouldn't be outside his abilities. Keep her rolled on that and bam, his own personal drugged up Oracle at Delphi. And if the drugs start to be less effective/she develops a resistance or becomes intractable... well, there's always disposing of her since he could aim for Dinah shortly.
Taylor's precog will continue to work even drugged... but the concentration for telekinesis would be beyond her. So, all he'd have to do is keep her balanced so that she still responds to external stimuli(i.e., he asks a question) but not so much that she's capable of escape.