Coffee finished, here is what I found, keep in mind these sizes are for the rear component not including the retaining ring. Also, these are for my lenses, you may find slight variances in size depending on year of manufacture.
150mm f/5.6 Sironar (1975) = 1 5/8"
150mm f4.5 Xenar =1 1/2"
Wollensak Raptar 190mm f/4.5 = 1 7/8" a much under-rated lens, Tessar formula
Red Dot Artar 8 1/4" f /9.0 = 1 5/8"
Repro Claron 210mm f/9.0 = 1 1/4"
Fujinon W 180mm f/5.6 = 2 1/8" I was surprised it is this big, the other brands may also be this big.
Have you checked if you can enlarge the hole to accommodate a bigger lens?
Also keep in mind that on the longer lenses, the shutter may actually be bigger/wider than your lens board which would make it difficult/fiddly to mount.
Good luck, RB