Some matches have 'iron sight' and scope classes; this type of set up allows a quick switch by dropping one and installing the other, both -0-ed for the course of fire.
DR, I see a lot of elevation marks left on your staff, like it is at about as low as it can go in the pic.
22" of drop doesnt mean you need 22" of adjustment. That is a calc of what happens to the bullet after it exits the muzzle if there is no elevation (like 'laser sighted). A bullet from a firearm has a parabolic trajectory to the target, and rises above the line of sight (unless you are very close) before falling below. That height above is your mid-range often expressed as '+ so many inches' at, in this case 100yd. for a 200yd, -0-. A rule of thumb is that the mid-range is about 1/4 of the bullet drop from the level. It is a little easier to visualize if you think of it as a baseball. The effect of this is that you get a lot more elevation out of a sight than it might initially look like.
Of course, you probably already know this, and have adjusted your sight up the scale to get your -0- and are near the top of the range of adj.; if so, you could gain a bit by using the thicker H&R scope rail with your nicely done sight mount.
BTW, I have shot Schuetzen for some years now, too. Good luck and have fun; it is an offhand game and worth the effort.