There are so many smaller places that would fit your bill. In fact, they are so small they wouldn't even be able to accommodate cruisers. I would have to think that La Playa might not be the type of place that would have them in either.

Your best bet would be to take a taxi, and start walking the beach. You may enjoy a new and wonderful experience.

WiFi is available all along the boardwalk. And yes, have a seat and grab a drink if you use the free wifi. Stores will also have a QR code to share while you shop and you can jump on their wifi as well.