there is a regional feat in one of the forgotten realms books (dont remember which) called fleet of foot. it gives +10 ft but is only available to elves or humans of certain regions iirc. add quick trait and a level of barbarian/ranger/druid avenger etc., and you have 60ft at first level. add monk or other classes and you can get a pretty fast human/elf. no LA no racial hit dice.
Make sure to note that it's the PGtF version of Fleet of Foot since CW has one too, which allows you to change direction when charging.
Add one level of a psionic class to gain access to the Speed of Thought feet.
The baseline is 10ft/3 levels for Monk, anything that achieves more than that is a good deal. That is why catfolk can be a good choice if you're not in Faerun.
Combine the Druidic Avenger with the druid variant a few pages later in UA, and you got a Druid with both the barbarian's and the monk's fast movement abilities built-in. You can be lawful and still rage too .
I am not sure if you can gain the Barbarian's multiclass ability 3 times by multiclassing as Druid/Ranger/Barbarian though, but if so then you could get
110ft. with Psion 1/Ranger 1/Barbarian 1/Druid 3 with the Quick trait (UA), Fleet of Foot (PGtF) feat and Speed of Thought (EPH) feet applied to an Elf or Human from the right regions. (I suggest one with Favored class (Druid) or (Any))
Your ECL will be 6, speed will increase by 10 ft. every 3 levels later.
Note that this Druid has lost the ability to wildshape.