Dynamically call REST endpoints

Hello. I have an API that needs to be tested and it looks something like this...

/animals

/animals/{type}

/animals/{type}/species

/animals/{type}/species/{speciesId}

and so on. In total I have about 75 endpoints that need to be tested. For all of these I only need to test GET requests so the only difference between each request is the endpoint being called and the URI parameters being passed. Of  course I could create a test step for all 75 endpoints then have a test step for each one, but that would obviously be very tedious to set up.

What I'd like to do, if possible is have a single REST request to which I pass the entire URI, so I first call /animals, then /animals/{type} etc.. Is there any way to do this in ReadyAPI? I'm also open to possible alternative solutions.

Thanks,

--Drew