From what I have seen, most people lift houses using heavy metal I beams running parallel to the length of the house.

We have a cottage 20′ x 38′ where the 20′ sides are on the East and West and due to the local conditions, we can not slide a long heavy metal beam from the East or West. 

Because we do not have access to the East and West sides, and because the structural engineer has specified that we use 7 metal beams (W10-39) to be used for the foundation repair, I am wondering if we can also lift the house with some of these beams, then place the beams on top of the helical pier heads that will need to installed.

The house only needs to be lifted by around 10″. The plan is to install 7 helical piers on both South and North side, with about 1′ outside of the perimeter of the cottage, and to sit the 22′ long metal beams on the flat head of these piers (they will be soldered). So the beams are about 1′ longer that the width of the cottage.

The cottage sits on a terrain that slopes down from the West to the East. At the West, it is about 8″ above ground and at the West it is about 3′ above ground. The seven metal beams will be installed perpendicular to the three, 6″ wide wood beams that run East-West. So that will eventually create 14 points of contact and support between the  existing wood beams and the new metal I beams. 

Because the soil is made of clay and we are in Canada (Quebec), the head of the piers has to sit at least 8″ above the ground. With the 10″ high I beams (W10-29), because the lowest point of the cottage is 8″ above ground, we will need to raise the cottage by 10″.

As I said, we do not have access to the East of the West of the cottage to slide an I beam length wise, so we can not a grid pattern of I beams. This would have made the jacking of the cottage easier because we could potentially have needed to only jack up the 4 corners. The installer does not have a unified system of jacks, so my concern is that the (new and expensive) windows and doors may crack, as well as the tiles on the floor and drywall, plus that other structural damage (expensive new quality metal roof we had installed recently). 

The cottage is a wood structure with one floor and just a dormer added to create an extra room upstairs of about 100 sq.ft. We have tiles in about 1/4 of the place (kitchen and bathroom) and drywall in about 1/4 of the walls. We have also added some stone siding around the fireplace and behind one wall of the kitchen area. So I don’t think it is very heavy. The roof is metal.

Just to give you an idea of what the proposed repair would look like, here is a short video https://youtu.be/vWs8fQ2RncM

So my questions are
1) Would you suggest that it is crazy to try to lift the cottage without having metal beams running length wise?  The only way we could possibly use such beams would be to put them on the outside of the cottage. If we want to use just one beam on each side, we would have to dig a quite a trench not only for the height of these 2 long beams, but also for the stable support where the jacks would be positioned under these beams. This may finish to destabilize the current temporary foundation (concrete blocks and footing).

2) Assuming we do not use metal beams running length wise, but only use some of the 22′ long metal beams that will be used eventually for the repair, how many do you suggest we need just for the lifting? I assume at least 4 which would give us 8 support points of contact for the lifting. Should we use more?
PS: The idea here is that with the temporary support beams in place, we would then progressively secure the other beams, working from the West end towards to the East end.