Hi Ethan,
Some of the Echizen or Takefu Knife Village makers are the ones you're most likely to find making the bunka within the $250.00 range for sg2/r2 steel. These include Shiro Kamo, Yoshimi Kato/Yoshimi Echizen, Kei Kobayashi, or Yu & Makoto Kurosaki. Unfortunately, unless there's a significant sale you're unlikely to find a custom handle on one in that price range.
I'll second the honesuki comment above. The only maker I've seen do these in this steel is Nigara, but they'll run at a much higher price:
https://bernalcutlery.com/products/...le-burl-western-handle?variant=43565976223965
They have several honesuki here or they also sell a "k-tip nakiri" which is basically just a taller version of the bunka:
https://homebutcher.com/collections/nigara-hamono-knives
There is however this butcher that's close to your range:
https://carbonknifeco.com/collectio...gara-hamono-sg2-migaki-tsuchime-butcher-170mm
Happy Hunting!