Rescission requests would need to be specific. Trying to rescind the whole omnibus would be wasted effort and worse once a special request is made and fails it cannot be made again. Better to pick things off one at a time.e.g. planned parenthood. While we would like it totally defended realistically try cutting it in half.
For example, Senator Schumer could claim credit for delivering to his constituents, half a tunnel (into the Hudson River).