Is this is a secure use of AES-CTR? Here is a hypothetical application of AES-CTR encryption.

Encryption:


Step 1: Generate random key and IV for new object;
Step 2: Use said key and iv to encrypt some data, which is then
stored on a content server;
Step 3: Encrypt key and IV using some secret master key, and store
the wrapped keys in a database table.


Important: For each new object that we want to encrypt, a new key and IV are randomly generated.

Decryption:


Step 1: Retrieve encrypted key and IV relevant to object that we want
to decrypt
Step 2: Decrypt key and IV using master key
Step 3: Use decrypted key and IV to decrypt object


I would like to know if this is an acceptable way to proceed with AES-CTR (assuming the master key is handled securely, and we are also hashing content to ensure integrity)?

If not, could you please suggest a more secure way to manage key and iv for a given object?
Yes this seems secure.

Note that for CTR we use a nonce not an IV but it has similar role. Depending on your operational requirements there may be simpler secure methods. The key question is how the shared secret is managed, of course.