Bad answer! After V1, stopping is not considered a viable option!
If you have forward pressure on the yoke (common especially at lighter weights), release it. Otherwise, keep the nose where it is. Pulling it up will increase angle of attack and therefore increase drag, further increasing takeoff roll. If the nose visibly sagged when the tire blew, I might try to bring it back up to "normal"...
Weight on the nosewheel will be less as airspeed increases, so one tire can easily support the weight of the nose for the remiander of the roll.