Solution: use the spore drive to go to the delta quadrant, take your time whilst Control used warp to try and catch up.
Of course that's a nitpick. Never let a mcguffin get in the way of narrative! some poor script choices (Tyler undercut the moment completely, the parents arrived to say goodbye then left everyone else to die - could bring backup...) And I don't know why bring back the doc just to transfer him now. But I still enjoyed and the crew of discovery are heroes, not war criminals as some have accused them of being.