Depends on what you want and what other priorities you're managing.
The Whites are great. I haven't been to the White's in 20 years but last time I hit Washington it was pretty busy. That said, I haven't been there in 20 years so take my advice with a grain of salt.
IMHO the Adirondacks are special. Great blend of outdoor excellence with relatively low crowds, especially for the timing you're on.
I spent many years climbing in CA/OR/WA and remain pretty impressed with the ADK. That said, they're pretty rugged (steep/chunky trails), aren't always the easiest to get to, and can't quite compete with the vistas you're gonna get in Yosemite/Sierras etc. All that said, they're worth your time and have their own charm.
When I can, I sneak up to Northville/Lake Placid and get dirty. Mt Marcy is the obvious target and worth your time if you're into it, but the adjacent peaks are just as good (just not as tall).
If you do head that way, make sure to hit the great Meat Store of the North,
https://www.deliandmeatstore.com/
Lake George is also great, I've only been twice, but I tend to avoid it high summer as it's quite busy, at least the few spots that I've been to. My perspective there would surely change if I had a friend with a house there. YMMV
Good luck!