OP: If I were you, I'd burn 55k AA or 50k BA to fly there in business class... or even 67.5k AA for F on JL, which is very, very nice. But, sadly, this approach wouldn't leave you with enough miles to get the 3 of you back home.

As such, use the DL miles for yourself, assuming you can get seats (unlike AA/UA, DL awards must be used on a round trip basis... more accurately, OW costs the same as RT).

For your wife and daughter, plan on spending 70k AA miles to fly them on AA or JL.