Rooster7: Disregard that grill nonsense!
Get'cho self a cast iron frying pan!
Heat it up, cut that backstrap 5/8" thick while the pan is heating. Add to the cast iron frying pan equal amounts of virgin olive oil and butter Stir this while the butter is melting - do NOT overheat.
Roll backstrap steaks in quality flour add salt and pepper then cook for a few minutes per side - till just some pink inside is evident.
NO drying out here - and the taste will be sublime.
Enjoy.
Hold into the wind
VarmintGuy