In a no host bridal shower invitation, you would have to chose the right words to tell the invitees that they would have to pay for their bill. You can word it something like: We are gathering for a Dutch Treat Dinner (Or lunch) for Bridal shower celebrations of "Ms. So and so" . Then include Date Time etc and the phone number for RSVP. Make sure that you include a copy of the reservation card for dinner with it so that people have an idea of the cost.
