you've gotten some great advice.
i'd go with your neuro.

you're also very wise to keep copies of tests and dr visits.
i learned that lesson the hard way when applying for ssdi and was denied. they said that they never got records from several drs even tho the drs said they sent it.

my 2nd attempt and hiring a lawyer...and approved.
i found that you need to keep records on yourself. then make copies and send that to apply for your ssdi. certified mail, return receipt requested.
plus, there have been some things i've read on dr notes that weren't accurate that needed to be corrected.

have your neuro get any tests he needs and make sure you have documentation in your chart that you need disability.