Rather than claim as a disability related deduction, consider Section 162 business expense. Business travel expense to visit a client's location is generally deductible under 162(a)2, unless the client location becomes your tax home (which would convert the business travel into commuter travel). If you have a wide range of clients, with multiple lessons in the same day and some turnover in the client base it argues in favor of business expense. On the other hand, if you have the same single client year after year, that will certainly be commuting expense.
You didn't cite the guidance excluding "local business travel" but it likely concerned hotel and meals rather than taxi or mileage. Consider the analog situations of a landscaping company or utility meter reader who travel within the same city as thier tax home and regulalry deduct those local transportation costs.
Depending on your unique travel pattern and client arrangements there may be some gray area, but as self employed using Schedule "C" you have more latitude than a W2 employees who no longer have Miscellaneous Itemized deductions on Schedule "A".
