Hi A - don't think you can really make cheese stuffed bacon wrapped chicken the most healthy of meals even with bbq sauce - but start with the best quality of chicken, not the cheapest watery stuff, use a first class cheese, and a dry cure bacon, then bake not fry and that would be a start..
Serve with rice boiled in veg stock for extra flavour, and add some peas to the rice at the end to add colour and some veg too. Chick peas, chopped broccoli, carrot or beetroot can all be added as well - this is a bit like a suggestion to get kids interested in better food!
Make your own sauce too - shop bought is stuffed with sweetners and colourings etc...
Have a look at the info on:
http://whfoods.org - site for the worlds healiest foods - scroll down the list of contents for some ideas.
Hope this of some help, and perservere with getting the veg intake up as it will only help a better diet.
Don't forget that a lot of quick cook Chinese meals have veg as a base, so maybe try the wok approach too - e.g. stir fry bbq chicken with diced bacon and Chinese veg??