Risk of overheating during early pregancy?

eyutzy

I'm 5 weeks now with my first and I'm registered for the Peachtree 10k next week.  I'm not concerned about the mileage (I've been running about 11 miles/week all month plus cross training)  I'm wondering what thoughts are on running in the Atlanta heat so early in pregancy.  I will obviously ask my doctor but I wanted to get some feedback here. 

Would I be fine with lots of water, ice chips and a heart rate monitor?  Or is it too risky?

Thanks!!

AL1011

I live in TN and my ob/gyn gave me heart rate restrictions (stay at or below 140 bpm) and said to stay hydrated and watch out for symptoms related to overheating (headache, dehydration, dizziness, etc.).  I walked a lot (2 or more miles daily) in New Orleans last week during a conference/vacation and followed the same cautions, but I worked out in the hotel because I didn't feel like being outside any longer than I had to.