I would like to stay in the 4k range for everything. It would be 2800 for eveything but the speakers.
Josh, you're budgeting 30% for speakers and 70% for other. Most of us would agree this is backwards. A split like this can give you good video but lousy audio.
Think about what you want, and remember this is an audiophile forum. People here think the impact of great audio is what makes a system. Unless you sit within sneezing distance of the screen, you can't tell 720 from 1080 from 4k. But you can certainly hear crappy audio. And the floor shaking, chest thumping bass will make or break a home theater. Think of going to a movie theater with the latest & greatest screen, but the audio is from a transistor radio.
If you're set on that budget split, we can still offer much better suggestions than what you picked.