By the time a swarm of robots will process blueprints and take raw materials and construct the structure semi-autonomously or even completely autonomously.
The structure would most certainly not admit human presence. It only has to redirect radiation to where it is useful (maybe send a starship on a laser beam, for example).
Or, perhaps our extropian descendants won't care about travel time. ;-)
OR, maybe the black hole could power a hyperspace portal or something equally exotic...
Regardless, having a compact object nearby to play with would be fun!
I really wonder what will the societal implications of such a path being possible are going to be.
There are plenty of people that will be willing to push a pause button right now to be able to wake up in a world where you could buy a ticket to mars, add to that the quite likely possibility of becoming a millionaire if not a billionaire if you put enough money into any inflation beating investment and you get quite the incentives package.
Sure you might never wake up because the world is going to end in a nuclear holocaust or your icebox will experience a kernel panic 17 years into your suspended animation but overall this quite likely be a much lower possibility than dying prematurely today.