Well, an outreach program will have to start pretty young. I had my daugter shooting when she was 5. Gave her a .22 rifle on her 10th birthday. She was pretty good at it, and really enjoyed going to the range. Then around 13, one day when I was going out hunting, she said something like "your not going to KILL anything, are you dad?". So somewhere in the 12 to 13 year old range, her classmates, media, or quite possibly teachers, had gotten to her and switched her mind completely around about guns and hunting. The peer pressure made her embarassed to be shooting anymore.
Now that she is 23, her attitude has changed softened a little on the issue, but still no real interest to meet me at the range. So I THOUGHT I had her on the path of true rectitude, but the environment conspired against me.
So my recommendation, start some sort of outreach program for girls that are 12 years old or so. That is when they are being swayed against the cause. And it needs to be more than just one girl at a time! You need to get your daughter to the range with some of her friends. Maybe the gun clubs can set up some saturday afternoon shoots with some extra range safety officers, so two or three of the girls can shoot at the same time. If a small group of girls can get involved and excited about shooting, it can become a "cool thing", and you might get an entire junior high's worth of kids interested in the sport.
Oh, another thing: a lot of gun clubs are pretty "anit-kid". Is your club one of them? Things like old geezers hanging around telling you to "sweep up your brass", "where is your badge", "did you sign those kids in", etc etc. These guys seem po'd that there are young kids around screwing up "their" club, and want to make sure they feel unwelcome. Is this YOUR club? These clueless geeks don't realize that if we don't get new young members, it won't be ANYONE'S club anymore, as they all go bankrupt one after another! Or worse yet, Pols like Obama take your gun rights away and there is NO ONE left to fight him in the electorate.
Get a few teen girls interested and good at shooting, get them their own club memberships when they are 20, and you know what, they will be bringing their adult friends from work to the club to introduce them to the sport.