Where I am located we do not strip at all, except for MPD operations where an RCD is present. Stripping is to be avoided at all costs
None of the rigs have stripping bottles. I don't agree with it, but it is not my decision to make.
Usually, if a kick is taken off bottom, the well will be top killed and verified that well is no longer flowing and that the pressures are zero. After the flow check is negative, the BOP is opened and the string ran in.
If the string makes it to bottom with no issues the BOP will be closed and then a WW or Drillers performed to regain primary well control.
If the string runs into the kick while still off bottom and the well flows, then the string is stopped and the well will shut in again. The influx will be circulated out at that depth. After which the pressures will be verified and a calculated kill fluid will be circulated around. Once the pressures are zero and the well flow checked, the BOP will be opened and the string continued running in to bottom.
Once again, if the string makes it to bottom with no issues the BOP will be closed and then a WW or Drillers performed to regain primary well control.
The process above takes a lot longer and uses more materials, but nevertheless it is effective.
Definitely not the ideal situation and personally I would rather strip because it is safer.