Are you an NRA member? If so you can.
The catch is the rifle has to have reciever sights and a scope as half of the match is with each type of sight. 40 shots with two sighters with each type of sight. 84 rounds of ammo with the sighters. You can shoot the entire match with you "metalic sights" but you cann't shoot the entire match with your "any sight" or scope. Savage makes a decent rifle for this type of shooting, at a resonable cost. Or you might try going to a few matches and getting to know a few guys who do this alot and usually a rifle can be had used, as guys get older and get out of comp shooting. It's a case of who you know, and how well you are connected. Metalic sights can get a little spendy as they usually costs about what a good scope does to purchase them. And the rifle must be drilled an tapped to accept them, as older rifles usually are, but new rifles may not be. The F-class part is the use of a fore end rest, instead of a shooting coat and a sling. As long as the rear of the rifle is unsupported on your shoulder the rest is legal
I really think a used rifle set up for this could be less expensive than starting with a new rifle and adding the sights. There are a limited number of folks interested in this type of specialized rifle, so if you are serious, I would go to a match and poke around and let the folks there know you are interested in shooting and would be interested in a used rifle. Many guys have one they used to shoot, and left at home. There may even be some one who would loan you a rifle for the next match. They may be your competitor while shooting, but generally they are a great buch of guys who love to see a new shooter.
When I first started I was very impressed with the free and good advice and help they are willing to give.
Best regards Kirk