The 2222/2907 pair aren't exactly high current devices (Ic ~ 600mA) and Pd limits you to about 200mA, I'd guesstimate. There are a number of integrated, Mil-spec buffers and opamps that can deliver up to around 200mA; a buffer that fulfills your implied requirements is Intersil's (nee Harris) HA-5002. The performance of this part will greatly exceed the discrete one as drawn as well as "reduce" the number of components (satisfying that inane mil-spec rule that the fewer the components the more reliable the circuit).
Cable capacitance can definitely affect stability but your (implied) bandwidth requirements mean you can use pretty much any of the standard compensation techniques. A capacitor across the 10k feedback resistor (say, 330pF to 680pF) will curtail the high frequency response somewhere north of 20kHz. More elaborate schemes can help tailor the pulse response, but it doesn't sound like you need to worry about this. At any rate, if you are getting obviously visual distortion at 20kHz with the amount of capacitance from a few feet of cable then you are hard up on the slew limit of something (e.g. - U1, the discrete output buffer or both).