So are you using an un-inked stamp to lift ink off a solid one? I usually ink my solid stamp in a lighter colour and my textured one for kissing in a darker ink. I have somewhat better success with pigment inks than with distress, but I can get distress to work too.
Do you have Linen? It's a great one, or any script stamp.
Just adding that if something really doesn't work for me - I usually diecut it into a small shape and use that so I've fulfilled the terms of the challenge and am still happy with the card. I've done this with a few of the Mix-Ability challenges, LOL.