I couldnt find info on hikes to do in that area without lots of people.
Its normal they try to protect the environement by channeling people in trail / refuge.
And while i enjoy the company of other hikers,i prefer a thousand times seeing close to no one for a week or two.
The contact i had with the half dozen people met on 1 or 2 weeks without resupply hikes were very different than when you meet lots of people every day on a "motorway" trail like GR 20, WHW etc..
Thats why i try to find hikes with none or poor resupply possibilities.
So as most refuges close end of april in that area, i have booked our flights for end of april / may.
I had a talk with a Torres del paine parque guard, he said its deserted once the refuges are closed and its still very doable to hike there.
Not decided yet wich shelter my wife and i will take, but surely not a tent.
I am hesitating between my MSR twin sisters, about 820g with the modification i made.
Its bombproof, and was tested in Iceland wind, need less anchorage points so easier to set on snow.
And the snow flaps are nice if there is lots of wind + snow falling.
Or my kifaru para tipi 930g,much more room, less condensation if use a 320g Myog inner ( silnylon / nanoseeum )
but more anchorages points so more stake weight and longer to set up on snow