I stopped measuring my food because it was getting annoying - but now I feel like I'm eating way too much protein. I calculate that I'm suppose to eat about 70 grams per day but that leaves me feeling still hungry. Sometime I eat about 70g of protein a meal- I am constantly craving chicken so that is what I eat the most. I go to CrossFit 5-6 times a week I am trying to lean out and drop my body fat/ so my body comp is better.
Any suggestions as to how to do this? Am I eating too much protein?
Wait, why are you hitting CrossFit 5-6 days a week? 5-6 days of CrossFit is too much!! Keeping your body in an elevated stress level will work against you. Remove a couple of days for CrossFit and go on some long walks, or practice yoga, or better yet go play! The weight will come off on its own, increasing the amount strenuous activity will only lead to problems. To maintain that energy expenditure you will have to take down quite a bit of food, not to mention you are never going to allow your muscles to repair from the previous workout (bad news!). I'd say slow down a bit, limit you strenuous activity to no more than 4 days (2-3 ideal) and fill those other days with either some high intensity sprints of some sort and lots of leisurely walking and moving about. Don't fight your body to lose weight.
My first question would be, are you measuring the protein weight of the chicken or the total weight? Most meat includes some fat, so you have to eat more to reach the protein goal.
Now, I think you have mis-calculated somewhere. I am 5'4" and I calculated my desired lean mass is around 99 pounds (more right now, but I'm working on that.) So, at about 1g per pound I need between 80 and 100g of protein.
You say you're craving chicken and craving more protein in general? Am I understanding this correctly? If you're cross-fitting, you're body is going to need high quality protein to rebuild the muscles you're busting through and creating.
If you're not feeling full after you eat... I have to ask -- are you eating enough carbs to fuel your activity, and how much fat are you eating? Fat is what will make you feel fuller, longer.