Should I visit Inyo Nation Forest or Sequoia National Park?

I’m doing a camping road trip in California. Yosemite is already booked but I don’t know where to go next. We’ll be heading south. We could either go to Inyo National Forest (and see Bristlecone Pines) or Sequoia National Park (and see, well, Sequoias).

It’s they’re actually right next to each other but there is no pass through the mountain range.

I guess it would be cool to see Mt. Whitney but I’m not sure which is closer.

Any ideas from people who have been there?