This is a very theoretical question. Sitting at a computer and just imagine the situation allows for multiple scenarios you may follow, depending on the picture you draw in your mind.
This also depends on the time you allow yourself for creating this virtual incident.
Sitting with your hands on the thrust levers and the flight controls places you in a situation which may, at least in your given scenario, not allow for a complete and thorough evaluation of the required actions.
At V1, and this includes also being close to V1, the 'GO' attitude followed by standard trained procedures and, in case of a 'hit something' , possibly the time to determine best actions, will allow the entire team to deal 'prepared' for what may happen; this includes the support of airport services etc.
Not many high speed rejections ended uneventful...