One thing to point out on this one...
If you want to hit a 160* steep, you're going to need to heat your steeping water beyond 160* as you'll get a sudden dip in temperature once you add your room temperature grain.
This is something AG brewers deal with all of the time.
A mash calculator can help tell you want temp you should shoot for based on the volume of steeping water, temp, and the amount of grain you're adding. There are a number of them around, but here's one of them:
http://www.brewersfriend.com/mash/
I actually used that calculator for my first BIAB mini-mash two weeks ago, and while I overshot my initial temp by a few degrees (well within RDWHAHB range), it was a great learning experience.
Also, I don't know how big your pot is, but when I stir in DME, I don't just turn the flame off, but actually lift my kettle, set it on a trivet, and add. Pulling the kettle completely off the burner helps to reduce hot spots, and frankly, if I inadvertently splash a little during the addition, sticky wort is easier to clean off the counter top than it is to clean off my stove.
Good luck!