It is pretty easy to make yourself a tool for measuring rotations with just a cardboard 2X2 of the proper size, a straightedge, and fine point pen.
Fold the 2X2 in half. On one side use the straightedge to draw lines joining the centers of the opposite sides This gives you 0, 90, 180, and 270 degree points. Then draw lines connecting opposite corners. This establishes the 45 degree points (45, 135, 225, and 315 degrees) Then mark points at the edge of the hole half way between where each of the previous line meet the hole This establishes roughly 22 degree point (22, 67, 112, 160 etc.) Repeat this same step again between each of the existing points. This give you marks about every 10 degrees. If you repeat again you will have marks ever 5 degrees.
Now put the coin you want to measure in the 2X2 so the obverse is on the unmarked side and the coin is upright with the top toward the fold in the 2X2. Holding the 2X2 closed flip it top to bottom. If there is no rotation the reverse will be upright with the top of the coin at the 0 mark. If there is rotation you can see how the center line of the coin lines up with the marks and estimate the rotation to within 5 degrees fairly accurately. Cost to make up a set of tools, one for each denomination, a little bit of time and about 20 cents in holders.