Setting Fence Posts in Shallow Soil

We are getting our first (three) goats next week and are trying to set up a fence to keep them contained.  There is less than two feet of soil over the bedrock.  We were planning to use a combination of T-rails and wooden posts but every time we try to tighten the fence the posts fall over.

What have others done to deal with this?  The goats are Kiko and Saanen so they will be quite hefty and need a strong fence.

If there is much loose stone at the surface, you could consider making gabion fence posts out of wire mesh filled with rock. I have seen them used in Eastern Oregon for cattle fence, so I suspect with the right dimensions, they could work for just about anything. I have never tried them myself, but true bedrock is usually a few hundred feet down around here, so driving posts is rarely a problem!

I live where there is a lot of bedrock so I can understand. As mentioned gabions might work for you or a rock jack.

Here is a thread that might help:

https://permies.com/t/40528/Fencing-suggestions-difficult-land

on the back half of my property all posts and t posts had to be drilled. not a cheap venture but build it once is my attitude. there may be hand drills that could possibly be used for cheaper but we used a drill that hooked to a skid steer. the rest of my posts were also done with the skid steer and a post driver.

for the t posts that were drilled we knocked the "ears" off the post and then drive them in.

Some of it depends on what you do on your corner posts/posts at the beginning of your line….what are you doing there?  A lot of the strength comes from the corner/end.