No. This isn't the way to pick up business.
If most of your guests are coming from over seas, then they are not traveling with their dogs.
Traveling with pets overseas is a complicated task. Costa Rica requires an import permit and an international health certificate.
Even if a guest gets these things, the different airlines have their own requirements. It can be a logical nightmare.
Reach out to other hosts on social media sites (such as Facebook or Reddit) for ideas and information for diversifying your clientele.
I wish you nothing but luck!