Focus on what your goals are, and pick a program that follows those goals. Don't be so concerned with training every day just because you might have obsessive tendencies.
Now that I've said that, here's a couple of suggestions:
It's possible to workout every day, but volume and fatigue must be managed.
Pavel Tsatouline has written some programs that you can use daily, and is one advocate for higher training frequency. There is the 3-5 program 3-5 reps, 3-5 sets, 3-5 days a week. There is also his Power to the People program with you pick 2 exercises and only do 2 sets daily, 5 reps a piece. I used that program to gain alot of strength on DL, Bench and Pullups.
Chad Waterbury has also written some programs of late that incorporate high frequency training. You can reach his articles by clicking to you left under Authors. I've also gained alot of strength using CW's methods, 10x3, 8x3, 5x5, 4x6. I have been lifting 3 times a week DL(alt squat), Bench(alt MP), Bent Over BB Rows(alt Pullups). I have gained similar amounts of strength with this program.
I would say if strength with minimal hypertrohpy is your goal, then check out Pavel's stuff. If maximum hypertrophy with stength gains is your goal, then try Chad Waterbury's programs.