Not 100% sure if I understand, but it sounds like you can double up on the "claim" attribute twice, use prohibitions to prevent the same claim from showing twice. Normally you'd use an interaction effect to capture any extra boost or loss, but the presence of prohibitions will prevent this in the software. You would need to probably recode the two attributes down into a single attribute with all relevant combinations in order to inherently capture the interaction. This could be done by modifying the .cho file, or by saving a copy of your survey, modifying the design in Excel and inside SSI Web, and importing the design via a CSV import. Your answers will still line up with what was displayed to respondents.
Not going directly for the "one attribute with all relevant combinations" approach gives you the option of sticking with a main-effects only model if desired, though then you have the problem that you get two utility estimates for the same thing. It kind of feels like you're capturing an order effect this way, but I'm not sure how confident I feel about that. You could potentially average the two scores together if you wanted to figure out utilities and importance scores like you're used to, but there might be some consideration I'm not immediately thinking about.