Without overclocking, the 1700 is likely to be the best performance per dollar out of the Ryzen 7 tier.
Only Ryzen 7 is released, Ryzen 5 and 3 - which would be within your $200 budget - are not available yet. If you can wait and want to save money and stretch your dollar, I'd wait for the 5 and 3 chips to arrive, as well as more motherboard availability (no ITX yet makes Crono a sad panda
).
For gaming, I'd still look at a Kaby Lake i5 (i5-7600K) as being good value under $250 if you plan on building a system right away. More games take advantage of higher max clock speeds than they do more (>4) cores, so the i5 is still relevant at the moment. But we might see price drops when Ryzen 3/5 are released, so waiting is probably the best move if you are looking for midrange value either from AMD or Intel.
The 1400X is what I'd keep an eye out for if you do wait, though I'd love to see gaming benchmarks for the slightly higher priced 6 core processors above it (1500 and 1600X). More cores and threads should prove to be advantageous as more games take advantage of them in the future... one hopes.
But basically I'm saying to wait.
Wait for benchmarks specific to the games you play or plan on playing, and overclocking results that get reported here and elsewhere if you plan on OCing, at the very least. Right now rushing to get a Ryzen 7 chip makes more sense for those who can use 8 cores/16 threads well (e.g. for video editing and encoding, heavy multitasking, virtualization and home servers, etc), and die-hard AMD enthusiasts.