Good for you for resisting meds. They have so many side effects. My friends have used Reliv International's kids' product - it has the DHA and omega 3s in the right proportion so you aren't playing kitchen chemist on your own. I would be very careful about mixing & matching vitamins - you want one entire absorbable (liquid) product that is balanced. Reliv gives you phenomenal customer care and support, their FDA inspection took 2 hours instead of the usual 2 days because the FDA couldn't find one single thing to criticize or correct, and the company feeds 45,000 children a day just through the charitable foundation (not counting all the regular customers). They have top notch testing by independent labs, have conducted many clinical trials, and have received 6 US patents with 2 more pending. These patents are on the entire formula, not just a single ingredient like most companies. You can't get a patent unless your product is safe, effective and one-of-a-kind.
Moreover, you child will probably not get sick any more, or much less than before. We use their adult products and have had extraordinary results that we never had on any other supplements, whether store-bought, from a health food outlet, or from a chiropractor.
The only caution I would say about asking your doctor about it is that 95% of doctors have had no nutritional training. However, the AMA recommended in 2002 that every needs to supplement because our food doesn't have what we need. So they recommend supplements but don't train physicians in this area. So I would ask the doctor if anything will harm the child, not whether it will help.
I would be happy to help you and have you work with other parents who have solved this problem. One friend is a long-time kindergarten teacher whose son got great results with his ADD - and she deals with these kinds of kids every day. She and her husband had also done Shaklee but didn't get the results. Another friend's child had 60 food allergies and tremendous rages -- those are all gone. A third friend has a child who had severe peanut and egg allergies - now they are virtually gone and soon will be completely erased. The allergist is amazed but thrilled.
I'd be happy to help - email me directly and I'll give you my phone number. A brief chat will help you get more answers.