P88:
This has all been discussed before on a previous thread. The DC-10-30 that abandoned take-off just after V1 because of a simple tyre burst belonged to Spantax and the fatal accident took place at Malaga.
Tyres do burst from time to time and they cause a lot of noise and vibration.
As I said on the previous thread, I am one of very few pilots who has suffered the loss of all 16 mainwheel tyres on landing due to a bizarre technical fault, I have never ever again worried about losing the odd tyre.
Certainly you should keep going. Once you shut the throttles then you have no further options. Get airborne and you have hundreds of options.