I think I did hunt. The right set and the right price. But, I do know how you feel about that individual coin by coin hunt.
An S IKE would be a bonus. 40% silver in the right years. The other S years are just a SIKE See what I did there.
I just looked at the coins my father left me. I knew had some Eisenhower dollars, so I went pack to look. My "collection" of Ikes is 28. 1-1970 2-1971 3-1971Ds 5-1972Ds 1-1974D 4-1976 10-1976Ds 1-1977 1-1978 I'm not much for IKE Dollar coins. For now, I've put them in a plastic holder. No silver in them.
you might also want to consider a graded set of Ikes. Most of the lower mint state grades are very available and reasonably priced.