Good choice to save some frustration. Just be aware that MLK and Ohara road are both 2 lane roads and if you are heading West, which I believe you are, there is a traffic circle at the intersection of the two which you will need to navigate. There is a bypass for Eastbound traffic but not Westbound.
An alternative would be to continue on Loop 375 which will take you over the mountains and meet up with I 10 again on the West side of town. Not a bad drive, just a climb up and over.
Take a look at the satellite photos and review the options.
Terry