Greetings from Yuma, AZ Jodi----We're expecting highs up to 116 degrees the next 4 days so understand your concerns. The first time I had cuttings rooted in small pots here in Yuma, like you have now, I nearly killed them all by over watering during an early heat wave. Luckily the friend who got me started with figs saved me from my good, but mis-guided intentions. Over watering in this heat is like boiling a potato, you just cook the roots. He loaned me one of those cheap water meters, like the ones found on EBAY and told me to keep the moisture level at about 30%, keep the pots in an filtered sunlight area and if I absolutely had to water something lightly spray the area around the pots and the OUTSIDE of the pots for evaporative cooling. Worked like a charm and still does. Sure the leaves may sag a little during the day but they perk back up by morning. Just add enough water to keep the meter about 1/3 of the way up. Figs are dry country natives and survive heat just fine but they don't like to much water. Another thing that works here in Yuma is I try to get my new cuttings in the ground by the the end of April, mid-May at the latest. That's about 60-75 days for most. I only start as many cuttings as I have places to plant them, I give away some of them but only to people who have a place ready to plant them.
I'm going to be out and about tomorrow and will take some pics of some that were adopted this year and edit them in here.
sdpops, Yuma, AZ zone 10