Hey! I've gone through the NCWIT program! It's really great!
Originally, the AiC award was aimed at girls in computer science, but it has branched out to the STEM fields (Science, Technology, Engineering, Math). You may as well apply, even if you don't use a computer heavily. Though I'm all for encouraging people to go into Computer Science.

If you win, it's a great experience, you get to meet a lot of other like-minded girls, listen to wonderfully motivational speeches, get lots of scholarship and job opportunities, and gain some great references. If you don't get selected, you'll have been able to get practice selling yourself (and you can apply every year if you choose to refine your essay).
Have you considered into going into biomedical engineering at all? Maybe you'd be interested in designing assets for children? like robotic prosthetics, pacemakers, or hearing aids.
Or like Lemon said, you can say you'd be using computers to store patient data and streamline your pediatrician office's workflow.
RE Scholarships:
A lot of the grants and scholarships I got came from the highschool and the university (so I got approved for them after I enrolled). You may want to look and see what the collages you are looking at going to offer.
I have had a... seemingly, unique experience with college so far. I would honestly say if you're looking to finish in reasonable time with the least amount of heartache it would be better to take all your GE classes at a community college (cheaper and also easier to get classes you need) and then transfer into university as a Junior (has higher priority getting classes).