Solution 1:

The cool thing with slimes is that when on water (either full block or not), they do not jump at all. So the good thing is make a flowing water system in that specific chunk to move the slime somewhere where you can kill them with some redstone machinery or by hand.

To try and speed up the farm, make another base you can live in there to continue spawning slimes to continue the farm a bit more while doing some other business.

Solution 2:

Unless you are afk, a system where a slime has to lock onto you won’t work. I’ve seen slime farm designs where you simply let them jump into a pit themselves, but you could also have a water system that pushes them into a pit. The hard part would be killing them and allowing their drops to float to the surface... maybe you could rig up some sort of water trap or simply make the water corridor to your elevator contained so they drown. Hope this helps!