Let me put my crystal ball on. .............OK, now I'm ready. First thoughts are the other
DVC options, HH and VB. I'd definitely recommend against LV as a timeshare choice. Not much on the strip and no reason to go if you're not on the strip. Maybe a direct exchange with a Hilton member, but that's about it. For the East Coast/NE Boston (Marriott's custom House but only 1 BR units), NY, Manhattan Club (may be too close), Williamsburg (several choices), HH (other choices maybe even better thant DVC) and Myrtle Beach.
Then there are all of the smaller resorts in the NE but I don't know much about them, email me if you're interested in a specific location and I'll check on what I can. Next would be NC/TN lakes and mountains with not many great resorts but a lot of good ones. For FL other than DVC, Captiva/Sanibel, Miami, Palm Beach area and Key West come to mind though all are very difficult trades.Let me put my crystal ball on. .............OK, now I'm ready. Assuming youre looking at summer. First thoughts are the other DVC options, HH and VB. I'd definitely recommend against LV as a timeshare choice. Not much on the strip and no reason to go if you're not on the strip plus rooms and food tend to be very inexpensive there. Maybe a direct exchange with a Hilton member, but that's about it. For the East Coast/NE Boston (Marriott's custom House but only 1 BR units), NY, Manhattan Club (may be too close), Williamsburg (several choices), HH (other choices maybe even better than DVC) and Myrtle Beach.
Then there are all of the smaller resorts in the NE but I don't know much about them, email me if you're interested in a specific location and I'll check on what I can. Next would be NC/TN lakes and mountains with not many great resorts but a lot of good ones. For FL other than DVC, Captiva/Sanibel, Miami, Palm Beach area and Key West come to mind though all are very difficult trades. Dont forget New Orleans and Branson and the ski resorts (CO, Utah, Tahoe) for summer. Then theres CA and HI but again difficult trades. Caribbean and MX (especially Cancun) also come to mind.
I know thats a lot and very general but taking into account the preteens and 2 adults and assuming you are willing to exchange points for a 2 BR as well as will need to travel in the summer and will have a car, here are my top choices. HH Marriotts Grande Ocean with a lot of bikes trails, very relaxing with many great restaurants. All units are going to be 2 BR. Several other HH Marriotts also come to mind. Second would be Williamsburg, especially Marriotts Manor Club. Third would be The Four Seasons in CA. Fourth would be the Four Seasons in AZ. Finally would be Marriotts Beach Place Towers in Ft. Lauderdale. There are many other great choices depending on what you like to go and your specific circumstances. For out of the Country, my first thought would be the Royals in Cancun and several resorts in Canada.
Some of these options will very difficult and you may want to consider direct exchanges or the use of an alternate exchange company to get your best chances of success.