You need an i7 with hyper-threading. Forget about non-hyperthreaded. You need the threads for rendering.

Lots of RAM. I recently saw a RAM sale for $170 for 32 GB, but that might not be possible in a $1000 PC. But definitely get 16 GB. (Some people think RAM doesn't matter for rendering per se, but that's actually not true: SM themselves will tell you that with more RAM you can render with bigger buckets = faster render times.)

GPU: Here's something to think about. Poser has much improved preview quality, but only if your video card can handle it. Is it possible that for some situations, you wouldn't even need to render if you had your preview settings maxed? If you might face those sorts of situations regularly... getting a good GPU may be worth it.

For my next box, I plan on i7/equivalent + 32GB RAM + SSD and a decent mid-quality ($180-210) GPU. But you can't really do that with $1000, at least not today.

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Hardware: AMD Ryzen 9 3900X/MSI MAG570 Tomahawk X570/Zotac Geforce GTX 1650 Super 4GB/32GB OLOy RAM

Software: Windows 10 Professional/Poser Pro 11/Photoshop/Postworkshop 3