Is it feasible to use combination of ABE schemes for encrypting the data?
Layering your encryption mechanisms like that would not display collusion-resistance between the two schemes. For example, someone with an Org-A key could decrypt the outer encryption over a record designated for Org-A administrators and then pass the inner ciphertext to someone with an Administrator key. Of course, you could use a different key for each Org's administrators, but that's just business logic, not a cryptographic guarantee.

I think you're thinking ABE too narrowly. It sounds like you're trying to force ABE to operate like IBE, which is totally possible, but not the best use of its capabilities. With CP-ABE, you can specify multiple attributes per key and multiple policies per ciphertext, and relate those ciphertext policies using a custom-built predicate expression.

With this in mind, it seems to me that the simplest option for your log-file problem is to encrypt each record using CP-ABE under a predicate that matches exactly the circumstances decryption is supposed to occur under. Each key can contain both the attributes for organization membership and the attributes for role within the organization. For example, records 1-90 might be encrypted to "Org-A" by itself, and records 11-100 to "Org-A AND Org-A-Admin" instead.