I would look at how olive oil pressing was done in the past, in the old days before there was even electricity..
In the past the olives were crushed with big huge stones they rolled over the olives.
The crushed olives are then a paste once they are crushed. Then you have to extract the oil out of that paste.
What you could do is spread the paste on top of some kind of a mat, in the old days they wove mats for olive presses. You would have to figure out what to use as a mat. Then you put a mat on top (so now you have a mat both under the paste and on top of the paste, then you push down and literally squeeze out the olive oil from the paste.
It wouldn't matter if you applied upwards or downwards pressure you just have to figure out a way to squeeze the paste. The olive juice will run out so you have to squeeze it on top of some kind of containment article, like a little kids swimming pool.
You gather up that juice, now you have to pour that juice into a smaller container, like a jug. Olives naturally contain water in them also, so the juice at this point is a mixture of olive oil and water. You have to let the juice sit undisturbed for like 2 weeks.
What will happen in that two weeks is, the little bits of ground up olives that made it past your filter will fall to the bottom of the jug, then on top of that the water will sit, then on top of the water will be the olive oil. These products will naturally separate just by letting them sit undisturbed.
Next drain off the water from the bottom of the jug, and once the olive oil comes running out after the water has been drained out just capture the oil in a good clean bucket so you can then use that bucket to fill glass bottles or a food grade container with the oil.
I'm thinking like you know when you are in the hospital and you get an IV, and they have that IV bag with the hose at the end? Something like that. Knowing you first need to draw off from the bottom the sediment and the water. It is important that the jug you first put the olive juice into you can see, like glass. This way you can literally see when the decantation (the separation of oil & water) has taken place.
Hefty Makes big zip lock bags now, I think like 3 gallon plastic zip lock bags, maybe you could come up with an idea using that. It is going to be really really hard for you to pull the oil out from the top, as that creates turbulence and the oil ends up getting mixed in with the water and sediment again. You really want to drain the water off from below as opposed to sucking the oil out from on top. Does this make sense?
I image a straw hat type material would make a good mat to spread the olive paste on, which you then are going to press down on and squeeze. Also clean panty hose maybe?
I hope this information is of help to you. Hey good luck my friend!