score:3
Generally speaking, I don't think your husband's diplomatic passport makes any difference for this purpose. This also means that you probably need a visa.
But as the wife of an EU citizen, as long as you are travelling with him, that visa should be free of charge and you should not have to present any bank statement. On the regular visa form you can omit the fields marked with a ‘*’ and simply provide evidence of your relationship instead. See also europa.eu.