@James2743 That doesn't seem like a very good idea. When you use the AirBnB platform, you agree to the terms. After guests have stayed with you, it's fair game: You can promote your own website, and if they want to come back, you can encourage them to book directly through you.
It seems really wrong to blatantly try to do that directly from the AirBnB platform, which is what you'd be doing if you do this.
What you should do, is simply think of the money you are paying to AirBnB as part of your advertising budget, and play by the rules.
I'm not AirBnB's biggest fan, but fair is fair, and what you are suggesting is wrong. If I randomly came across your listing and saw something like that, I'd report it.
Kia