I'm not sure it would work exactly the same, but when we pulled the engine/subframe out of my cousin's 07 Civic Si we unbolted everything up top, then suspended the engine (we had a hoist) then once suspended undid the subframe bolts. We then placed a furniture dolly under it and lowered the assembly onto the dolly.
At this point we backed the hoist up and chained it to the front crash bar (we had removed the front bumper cover) and lifted the car high enough to then roll the subframe assembly out from under it.
We had placed the rear tires up on ramps so that we didn't have to lift the front super high too. Once the assembly was out from under it we lowered the car back onto jack stands.
You have to get the front pretty high for the engine to clear the bottom of the vehicle. I don't think you'll have enough height to do it with a jack. I also don't know how you'd expect to lower the engine /subframe onto a dolly without a way to suspend it.