Sounds like your shift stick base is out of adjustment and off to one side too much. That would, indeed, allow you to find the forward gears and not the reverse simply because it wouldn't allow enough sideways movement to get to the reverse lever in the nosecone, even if you've pushed down on the shift lever to get beyond the reverse lockout tab.
Why? Because as you move the shift lever from side to side, the shift rod in the tunnel is actually rotating and in the opposite direction than an arc defined by the gear shift knob. If the base of the shift lever is off sometimes even by as little as 1/8" left or right, the lever can't rotate the shift rod enough to "find" the gear engagement lever inside the transmission nose cone. That lever looks like your hand held open and upright to make a hand puppet. There's a corresponding "hockey stick" lever on the end of the tunnel shift rod that when rotated precisely so, can hook those nosecone shift levers and push or pull them to engage the gears.
I would first try marking the shifter base against the tunnel at the front and rear of the base (for left-right reference), then loosening the shift lever base and moving the entire base to the right about 3/16"-1/4", retighten and see if you can find reverse in the normal way. If not, re-center it on your marks and move it to the left 3/16"-1/4", retighten and try for reverse. If neither of those work, then you may, indeed, have a coupler problem, but I think you're just out of adjustment.
Good luck, and please report back. It's not difficult to find the right position for the shift lever base, just time consuming due to trial-and-error.
gn