Hi Jason,
In our lab many years ago a study was done that showed that loss of muscle mass can be slowed down during wt loss. Subjects lost an avg of 21 pounds in 8 weeks (considered rapid weight loss). The rapid wt loss was intentional to see what happened to muscle mass. It turns out that if they didn't exercise while they were losing, they lost an average of 37% of their weight from muscle! If they did resistance exercise they lost only 2 pounds of muscle. And again, this was a lot of weight loss and it was rapid, which frequently causes at least some muscle loss. In addition to maintenance of muscle mass, the biceps of the subjects increased 0.6 inches when relaxed, and increased 1.1 inches flexed. I suggest that if you lost weight/fat at a reasonable rate (not more than 2 pounds a week), then you will do fine as long as you're lifting. As for running, you'll have to experiment. It's not clear where the cut off is as to how much cardio causes prevention of muscle gain, or muscle loss. Certainly an hour a day of cardio will not help. But if you look at triathletes, they do lots of cardio and lifting, and they certainly have muscular physiques. Give your running a whirl and see. You might want to do lifting first if muscle mass is your primary onbjective.
Importantly, you should have objective measures of your mass and progress.
The standard circumference measurements are arms (flexed and relaxed), chest (after a normal exhale), shoulders (the widest part), waist (the narrowest part below the ribs and above the belly button), abdomen (across the belly button), buttocks (at the maximum extension of the buttocks), gluteal/thigh (high on the thigh at the groove where the buttocks end), mid-thigh (halfway between the crease in the groin and the top of the knee cap), and calf (at the maximum circumference, either with leg hanging freely off a table or with legs 8 inches apart and weight distributed evenly). Keep the tape horizontal during measurements and pull the tape lightly so it indents the skin only slightly.
You might also want to measure your body composition (the amount of fat and muscle you have). You can monitor your body fat by using a bioelectric impedance (BIA) scale. You can buy a BIA scale for around $45. Check
www.omron.com and
www.tanita.com/ for more information. You can also use calipers at your gym if they do that.
Good luck. Rich