I agree with you 100%. Please check out
http://www.military-money-matters.com/disabled-american-veterans.html#axzz2gqn1nzNl , I have been giving to DAV for years. Check them out and see if the are the right one for you.
The bottom line;
Program expenses: $119,841,959 (77%)
Fundraising expenses: $30,546,235 (20%)
Administrative expenses: $4,592,505 (3%)
You will never find a organizations that gives 100%, you have to pick the one you like with the highest % going to help. Good luck and God Bless you for helping others.