There is probably no better time to get away from the built up area's and experience other parts of Bali.The safest place you could be would be on a Tour outside of the busy places like rafting down a river for the day or cycling through the country side,what about a visit to Lovina or Candi Dasa for a day or so,Bali has so much more to offer than just Kuta,go and ride an elephant or try the spectacular diving available.There's plenty to do for all ages in Bali other than shopping.
I am sure you will be taking back some very fond memories of Bali if you make the effort to get out and about.
Remember everyday you wake up, is the first day of the rest of your life!!!!!!!!!!