The settling time of the circuit depends on the following:
1. The feedback factor
2. Load Conditions
3. Doublets: Should be avoided
4. Slew Rate
Based on first two points, you need to detemine the required GBW of the OTA. The slew rate can be decided based on the load conditions.
Regarding the effect of Gain Boosting Amplifiers on the overall settling time, you need to make sure that the poles contributed by the gain boosting loop are father away from the GBW of the overall OTA. This will ensure no inteference from the gain-boosting amps.
I hope the above information would be of some help.