Actually, there are 76 dedicated 2BR units--4 in each building numbered 13-31. Each GV building (16, 18, 19, 28, and 30) has not only 4 dedicated 2BRS, but they also have one each of a studio and a 1BR; however, these are not used as a 2BR lockoff category. The only 1BR/studio combos used as a 2BR lockoff unit are in Bldgs 11 and 12 and then only when an accessible 2BR unit is needed; otherwise, they remain 1BRs and studios, respectively. In total, there are 123 rooms at HHI.
In terms of advice, while common logic dictates that since there are more 2BRs than studios then 2BRs are easier to book, that isn't necessarily true. Posters in the past have mentioned that it was easier to get a studio in the summer months because so many families come during that time, ergo, 2BRs are in short supply. Bluntly, getting either a 2BR, studio, or 1BR at the 7-month point may prove difficult given that is high season. Personally, I'd do the 2BR first as it gives you the most occupancy then try for the studio. Best of luck!