2BRs are the most plentiful villa-type at the resort and should not be much of a problem for early June right at 7 months. Studios and 1BRs do go quickly, but even there might even be availability for those right at 7 months for June 1.
There are 21 Studios (all lock-offs), 21 1BRs (all lock-offs), 5 GVs and 76 2BRs (all dedicated). If a HCA 2BR is needed, that would come from the lock-off inventory and would reduce the number of Studios/1BRs available. None of the dedicated 2BRs are HCA.
I've gotten on the same rese a 2bdrm and a studio for mid june at 7 months, but i called the first day to get. We love it there so much we added on. You'll do the same