You can pick up a used Sennheiser ME66 + k6 powering module on eBay or Reverb for under $200. These are robust German made (discontinued) mics that last a long time.. Then you just need a pistol grip, XLR cable and “dead cat”. Rycote and Rode are good brands, and you might find them used as well.
As for a recorder, get one with 32-bit float recording capability. Zoom makes some good budget friendly options.