Concur with above. Easter is 4/1, the week of 4/7 and 4/14 might be light and easily obtainable as a getaway. Mid April usually has a NE break, so more crowded and full, then late April thru mid May is also easy to obtain.
If you are ok with offsite, I would also do a Marriott or hgvc in 2 2 bedrooms or a 3 br. 10 is technically not allowed in hgvc, but the hgvc sw are very large units sleeping 12, 1 king, 2 doubles, king with pull out and pullout in living room.
Another option is a summer bay pool house for 8 with another 1 or 2br which you should be able to secure their getaway, extra vacations.
Lastly, Bonnet creek has penthouse units. You could rent from an owner.
Dvc will be much more $$$$ than these options.
You can likely rent an offsite house with pool for much less also.