Bahamas and PV
We've stayed at two A/I resorts, both just 3 star, decent but not fancy - and we loved the experience. Especially with kids, an A/I is perfect. Some adults actually enjoy the restaurant experience - just sitting and relaxing, taking time over a meal - but my kids HATE that! To them, a meal is a place to consume fuel so they can get back in the water.
The first stay was at the Viva (now Wyndham) resort on Grand Bahama Island. It runs about $215 per ROOM per night (give or take $40 depending on season). We loved it. The second was in Nueva Vallarta, the Samba by Pueblo Bonito. It is VERY inexpensive. ($69-100?) It is not up to PB standards by any means, but the accomodations are decent, the pool and beach are great, the kids club satisfactory (meaning my son would rather be there than with us, usually

) and the staff was incredibly nice.
At both resorts, the food was at least tolerable. The fruit was excellent, the "custom" food great (taco bar, omelett station, etc.) and the other entrees OK for 3-4 days. For a longer stay, insert an off-campus restaurant visit mid-stay to break up any monotony.
There are reviews for both these resorts, I believe, on the TUG board.
Enjoy!
Dave