We are a family of 7 and I have a rule that I never spend more than $2500 (I try to keep it to $2000) on any one week vacation. I am an extreme deal shopper.
Sign up for the southwest visa , there is a thread on here somewhere about it - 50,000 points afte first purchase. If you and hubby both get one separately, that is 100,000 - although you may be able to squeeze 4 rt flights into 50,000 points given your dates. $100 annual fee, but you can cancel before the second year and that is still a good deal. You won't be able to get discounted YES tickets because of the dates you are looking at...but I still think you c ould squeeze it in under $2500 if you get the airfare offer.