Just make sure the emphasis is on leisurely. You will have days when you want to hammer and compete with the car traffic. Don't do that if it's supposed to be an easy day (or just do it for a couple of stoplights ... when it's safe
).
An EASY ten mile cruise, twice a day, shouldn't interfere with muscle healing. But IF there are many tough hills or severe winds on your commute - parts that hurt no matter how slowly you go - then you'll have to choose your priorities, while also being realistic about the benefits.
If traffic is light, you can incorporate some of your drills into your commute, but choose your times and places, because serious training takes serious attention, which really isn't compatible with rush hour traffic.
Your age is also an issue ... younger people heal quicker and need less focused recovery.
This is really my magic 8-ball (aka my running coach) talking. I've commuted and I've raced, but never both at the same time. But I've found that most of the time I can tell when I need extra recovery and when I don't, and I think have a pretty realistic idea of how competitive I will (or won't) ever be in races. Listen to your body, listen to your common sense, and you'll make the decisions that are right for you.