Comp Cams sells break-in oil and can be sourced local. Brad Penn is excellent oil but needs to be ordered. I can get Comp Cams oil from NAPA or Orielly's, Summit racing also sells all kinds of oil. GM EOS works well, haven't bought it for awhile so maybe it;s not as good as it was.
Your engine doesn't have the valve spring pressure most aftermarket cams need to work properly, so the load on the lifters and cam lobes is minimal. I would still use the break-in oil since the cam is new and you don't know how well it was ground or hardened being a low production cam.