The Backtail might fit that. The rack is from the first deer I ever killed. Dad saved it. 15-20 years after I killed it Mom and Dad moved and Dad found it up in the attic. I used a cape from a Blacktail I took and had the taxidermist do a shoulder mount. Three points on one side, four on the other with eyeguards, light rack, but it is a blacktail. Bet there isn't more than one or two other persons in town with one.
The Moutain Reedbuck might fit your description. I did a once in a lifetime Afrcian Plains game package hunt in 2002 and 6 weeks after knee surgery. It was a great hunt, one I will never forget. I took a Moutain Reedbuck as an extra animal outside the package. I had seen Mountain Reedbuck several times while we were out looking for other animals. They are a smaller animal. They were extremely weary and when we went after them they always elluded us. The last day, I had all the animals in the package so we spent the entire day looking for a Mountain Reedbuck.
These animals prefer the steeper mountain sides. We spent a lot of time glassing and finally found one high up on a mountain side. We had experienced sleet and snow the day before and had low clouds threatening snow, covering the peaks on this day. This herd of animals were skirting in an out of the cloud cover on the steep near cliff like mountainside at what we learned later was 800 feet above us. We made a stalk that took 2 1/2 hours to get up near the animals. When we got to where we wanted to be, we at first couldn't find them. The PH was about 10 feet above me and signalled he could see them and for me to come up. I got up to him and he whispered he could see the animal moving down towards us. He said they would pass through the opening about 25 yards away. He was moving out of the way for me when the small herd started through the opening. The PH sat back and said put the rifle over his shoulder and put his fingers in his ears which was his signal to shoot. The buck stepped into the opening and stopped broadside. I shot. I saw the bullet hit the rocks behind the animal. The animal just stood there. I worked the bolt and started to shoot again and the PH said wait you got him. The animal turned toward us and watched us. We sat there and stared him down. After what seem like a lifetime he turned walked about ten yards over to a bush and laid down and went to sleep.
I told the PH, it was a good thing we got him when we did as my knee would not have let me climb another step up the mountian side. As it was the PH took about 20 minutes to get back down the hill. We had not brought a tracker up with us. But the PH when he got to the truck sent the tracker up to help me. When the tracker got to me he wanted to take my rifle and day pack but I wouldn't let him. It took me 45 minutes to get off the hill. We went back to Farm and I sat in easy chair the rest of the day. To me that Moutain Reedbuck was the toughest hardest animal I hunted over there.
Maybe I'll hang that Mountian reed buck over the desk.