Whisk all the wet marinade ingredients into a bowl, then add the spices and whisk to combine.
Add the steaks and the marinade to a large Ziploc bag and seal. Massage the marinade into the steaks and marinate for 4+ hours.
Heat a cast-iron skillet and make sure it's nice and oiled (or add 1 to 2 tablespoons of tallow). Cook steak over medium-high heat for 2 to 3 minutes per side, or until the internal temperature taken with a meat thermometer reads 125-130 degrees for medium-rare.
Allow the steaks to rest, covered, for five minutes or so before slicing into medallions.
Notes
When flipping the steak, use tongs to avoid pricking the steak and letting the juices escape, which will dry out the elk steak.
Slice the steak against the grain and serve over a bed of rice or with a healthy broccoli salad. Another option is to serve the steaks with scalloped potatoes.
Don't skip resting the steaks. This allows the juices to redistribute throughout the steak, resulting in a more tender steak.
Store leftover steak in the fridge, in an airtight container, for up to 3 days.