Chronic Inflammatory Demyelinating Polyneuropathy (CIDP): This is the most likely diagnosis given the presentation of CIDP distal, as it is a well-known condition that affects the peripheral nerves, causing demyelination and leading to muscle weakness and sensory loss. The distal variant specifically affects the distal parts of the limbs.

Multifocal Motor Neuropathy (MMN): This condition is characterized by asymmetric muscle weakness, primarily affecting the arms, and is often associated with conduction block on nerve conduction studies. It could be considered in the differential due to its similarity in presentation to CIDP, especially if there's a predominance of motor symptoms.
Autoimmune Nodopathy: Also known as Lewis-Sumner syndrome, this is a rare condition that presents with multifocal neuropathy, often with both motor and sensory involvement. It's an important consideration given its mention in the question and its potential to mimic CIDP in some aspects.

Vasculitic Neuropathy: This condition, resulting from inflammation of the blood vessel walls, can cause neuropathy and must be considered due to its potential for serious complications if left untreated. It can present with multifocal or diffuse neuropathic symptoms.
Lymphoma-associated Neuropathy: Certain types of lymphoma can cause neuropathy, and given the potential severity of lymphoma, it's crucial not to miss this diagnosis. Neuropathic symptoms can precede the diagnosis of lymphoma.

Neurofascin-155 IgG4 Autoantibody-associated Neuropathy: A rare condition associated with autoantibodies against neurofascin-155, part of the nodal complex in peripheral nerves. It can present with a range of neuropathic symptoms and should be considered in cases that do not respond to standard CIDP treatments.
Anti-NF186 Autoantibody-associated Neuropathy: Another rare condition involving autoantibodies against a component of the nodal complex, which can lead to neuropathic symptoms similar to those seen in CIDP or autoimmune nodopathy.