The Sun School feat (CW, p. 112) allows you to make a free attack whenever you move instantaneously (e.g., teleport) adjacent to an enemy. It requires BAB +4 and the Flurry of Blows ability.
The Snap Kick feat (ToB, p. 32) allows you to make an extra unarmed attack whenever you make a melee attack, comboing nicely with Sun School for a kind of budget version of Shadow Pounce. It requires BAB +6 and Improved Unarmed Strike.
That means to get the prerequisites for both feats in E6, you somehow need to get Flurry of Blows without losing any levels' worth of BAB. Most of the obvious ways of getting Flurry of Blows (e.g., levels in Monk) don't work, because they lose at least one point of BAB.
Is it possible to qualify for both of these feats in E6? I'm using the "official" E6 rules. All first party 3.5 content is allowed, as is 3.0 content that has not received an updated 3.5 version.