BigRagu,
I have found the best grass for bare or sparse ground in my area is a mix of Bermuda (Var. Sahara) and Centipede (Pennington seed).
The Sahara bermuda sprouts quickly and begins to cover in only 6 weeks in warm wet weather. It quickly covers and the thick runners prevent erosion. Left un-mown, it maxes out at about 8-10" tall.
The centipede starts off very slowly, and takes about a year to start choking out the bermua. The centipede needs no care whatsoever. Not even fertilizer. It's quite drought tolerant, and is very disease resistant. Left un mown, it maxes out at 12-16" tall. Once established, you can finish mow it every week, or bush hog it 3-4 times a year as you please. It's the only carefree grass that I know of that also looks great and doesn't grow waist high if neglected.
It browns out after the first hard freeze, but comes back very early in spring. Since you already have some cover, you may option to skip the bermuda and just sew the centipede. Just be patient, it starts real slowly at first.
I do believe centipede will grow in your area, but don't hold me to that!
