Ya'll are great. I appreciate all the input. I think the ability to have 6+ people is essential. Looking at Poly, you are totally right. Not a great choice for this size of a family. It seems like BLT requires a lot of points. I would like the ability to stay for 10 days a year to start.
I was the late-night-last-night commenter, BLT does require a lot of points but the MFs are among the lowest for park access. It will come out to a $200/yr difference (savings) as compared to other resorts, even though buy-in per point will be higher.
The trade-offs to some of the lower-point resorts:
AKV: Near Animal Kingdom, so qualifies as a near-park resort, but most people don't consider it that way.
BCV/BWV: Both small resorts, 2042 contract end date. For a large, young family, the 25-year timeline may not appeal.
BRV: Also a smaller resort with 2042 end date.
Copper Creek: The newest, so it has the latest end date, but dues are ba-na-nas.
OKW & Saratoga: Neither is a near-park resort. A lot of people put priority on being near at least one park. OKW has awkward end date issues.
VGF and BLT (and Poly, for that matter) require a bunch of points, but the trade-off is that they're monorail loop with longer contract lengths.
This is kind of what I would have said, for your needs,
@Justin Kirklin - AKV probably has the lowest buyin considering how close you are to a park (and Pandora!); it also has a LOT to do onsite, so if cost is a concern, you can do fewer park days and spend quite a bit of time at the resort. Trade off is that the MFs are pretty high. But, it's a unique resort, and you have a lower buyin both in # of points and also $ per point.
2042 end dates are a consideration since your kids are young - then again, we have young kids and would certainly consider the right contract at the right price due to the proximity to DHS (SW land and Toy Story land coming before you know it) - probably BWV because it's a little cheaper and needs fewer points for a std. Also really like being on the BW.
BLT, which we chose, had (for US) the best combination of location (walking distance to MK and ease of getting to any other resort, park, or DS due to the MK bus stop), MFs and price (we got a good price per point). Also, BLT 1BR and 2BR have an extra full bath which is really, really nice. Sort of makes up for the studios being among the tiniest - which wouldn't be your problem anyway.
If you are thinking OKW or SSR because of the low buyin cost, do consider whether you want that as a home resort, and maybe consider renting points to stay there before committing. One potential upside to owning at BLT/VGF/BCV/BWV is that you can rent your points out at a premium because people want to stay there, if you have extra points or need to cover MFs or something.