EEE points can only be used in II.
My suggestion when scanning for good locations in II search using the largest unit with greatest TDI. This will show you everything out there. You will only be billed the points required for unit you book.
I also suggest searching using resort codes. Pick today’s date to start and two years later to end.
Then paste this entire list in the search field. (Note: Some of these codes are for Hyatt’s and they will not show up, I use this list for other system to that do pull Hyatt’s.). This is a list of all the Elite and Premium Botuque resorts.
HRP, HNS, HWP, HYS, HSH, HYK, HYN, HBK, HMS, HSL, HYP, HYA, HCC, HYB, HYI, HRA, LFP, SXP, STW, SDI, VTA, PGA, PGN, SRM, FSA, SCT, VIO, VO1, VIT, SVV, VKW, VVM, VCC, VIS, VS1, WDL, KAA, KA1, KAN, KA1, WKV, WLR, WMH, WPV, WV1, WRF, WEJ, WSJ, MAW, MFC, MGO, MMB, MPU, MKO, MOW, MAO, MCP, MBY, MMC, MSE, MSF, MDS, MPD, MGR, MSK, MCV, MMO, NCV, MSU, MKW, MPB, MUZ, MGA, MG1, MG3, MG5, MOU, MCU, MGC, MC1, MGK, MM1, WNA, MGI, KIR, YAM, YOU, VVR, GZE, CIU, POE, BG1, BGD, GBR, PZZ, MMY, WFR, GRI, CL3, CLD, IN1, INN, SFW, SW1, AIK, DMO, TRJ, CCK, BKL, ISN
What happens if you book more than you have points for. When you confirm an exchange it’s pending until TS company confirms a unit to II. Once this occurs. Your pending confirmation becomes a confirmed confirmation, my guess is if you lack points Hyatt won’t confirm and then you will have to battle II on getting exchange fee back.
Some one else can chime in if Hyatt will allow you to borrow points, but if they do you will probably have to prepay MFs