This is what I did many years ago to get a new water main under the drive to our tied cottage. As the ground the opposite side of the drive was lower I only needed a shallow trench that side and a 4ft deep hole on the interception side. I pinched a scaffold pole long enough to reach, welded a spike to the end and hammered it under. Once through I cut off the spike and hammered end and left in situ with the alkathene pipe passed through it.
Incidentally I have been watching Esso moling a 9" steel pipe, when out walking, but not been close enough to see whether it is pushed or pulled, I also cannot understand why then didn't trench and backfill as it is open country albeit a national nature reserve.