The appointment wait to see an MS Specialist can be quite long. If your neuro has worked or is working with MSers, then you will probably be OK. You could ask for him to consult with an MS Specialist or in the absence of a definitive diagnosis, ask for a referral. My neuro sees me every 6 months, but she will find time for me if an emergency arises. Your wait time could be 4-6 months, but a referral could get you in earlier.
You might very well have had MS for years without knowing. I met an older lady who had MS for at least 35 years before she finally took the time to see an MS Specialist. She told me she had been too busy as a mother and her symptoms were always treated as something else or simply dismissed. This is not a rare case because many MSers will easily dismiss symptoms which go away without any noticeable damage. I know I ignored my symptoms for 5 years.
Patience is a major asset to have. Limbo land can feel lonely, but you are not alone. Most MSers have had a long arduous journey through limbo land. I think you are doing everything correct and believe it or not, you are probably quite close to an answer. Some doctors are reluctant to give a definitive diagnosis because it is "bad news". Their reluctance can cause stress and anxiety which can worsen an MSer's symptoms. Hopefully your doctor will be more forthright and provide you with a concise answer.