If its a big 'bang', then your 'roll of the dice' would probably stop - HF, surprise / startle factor - ground loving humans. (But how big is 'big')
If the hazard is multiple birds, would this result in multiple strikes, don't know; more than one bang - then stop. One engine failed would be unfortunate; but two would be careless.
A problem with questions like this, is that the text defines the situation before hand. Reality is that you don't know; actions taken would be to manage the uncertainty of the circumstance, as best interpreted by you at the time - even if not as per a preplanned SOP.
Claimed 32 kills at rotation, where the downwash threw the birds back on to the runway; no bird strikes on the aircraft. On the other hand, one bird into a shared intake damaged both engines; my roll of the dice - Rolls Royce, never had one stop, but the two damaged ones sized when shutting down on the ramp.