Hello @Jeff28,
If a guest has stayed with you recently you can send a special offer by going to your messages and clicking on their messages.
Should the option be available, you'll see a "Send special offer" button on the left in the "Reservation details" box.
For me, the ability to send a special offer this way is limited to guests who've stayed within the past two months.
Click on the button. As it will have the guest's last reservation dates, it'll complain that the dates are no longer available.
Just change the dates to the ones you wish to offer and click on "Send special offer".
I've never used it but see that the option is available for guests who've stayed within the past two months but isn't available for older reservations.
Currently Airbnb works such that potential guests contact hosts if they wish to stay. There's no way for hosts to prompt guests to stay if the option isn't available as above.
She doesn't have to send a bugus instant book which you have to deny. She can send a reservation inquiry.
To do this she can click on the "Contact host" link on your listing page. It's in the "Hosted by Jeff" section just above the map.
She'll then be asked to enter the dates she's interested in staying for. You should then receive a notification with the option to send a special offer.
The post below by Dave & Deb has a description of the reservation inquiry process.
Difference-between-a-Reservation-Inquiry-or-Request
Steve.