It would look something like BattleMech detachable jump packs taking up bomb slots. Say, one bomb slot per point of starting velocity for each 20 tons of aircraft, round up. So to launch a MechBuster at velocity 2, you'd need to fill 6 bomb slots, which are instantly expended when the rockets fire.
The TEL vehicle would just need a Lift Hoist capable of carrying the aircraft.
There should be a mandatory control roll with a penalty, say +1 for each point of added velocity.
In theory, you could take off normally and fire the JATO pods in midair for an emergency speed boost...