how to get my photos off water damage iphone 6plus

I dropped my iphone 6 plus into a toilet, and it was only half submerged (with the bottom off the phone sticking out of the water). I assumed it was okay until the lock button began to stick so when I turned it off - it kept turning back on. I soon realized it was short circuited and I checked the water indication mark in the SIM card slot, which didn't indicate that it had water damage. I went to the Apple Store with an appointment for the Genius Bar and didn't get far, where they told me the phone did have water damage. I need the photos off of the phone, and i know that the photos are stored in the memory of the phone. I also didn't hook up my phone to icloud, so there isn't any backup available for me to use to get the pictures. Is there any way I could get the photos off my phone before I send it back for a new one?? I've tried connecting it to my computer already and nothing happens.