Honestly, it just doesn’t make sense anymore to try to make Disney resorts work for that length of time.
Since you’re talking about at least 10 days, even at the lowest budget rates you’re at your budget limit. And I don’t hate the budgets, but the rooms are mostly very, very small. The only perk to being on property are the busses (not a small perk) and 30 minutes in the morning in the parks. I wouldn’t do it with two little ones. I’d look at off property hotels that have shuttles and fun stuff to do at your resort.