I would try either one of those pneumatic "bullets" or a gas powered auger with bit attachments.
I know a plumber that used to auger a 2" hole under drives and walks with a bit welded to black iron pipe, he would add pipe sections as he worked the bit into the boring.
It worked pretty well.
The problem with just pushing a pipe through, is the pipe will then be filled with compacted soil, unless you cap the pipe and then you will have difficulty getting it through.
With the sandy soil you say you have, I would consider a jetter attachment hooked to a pressure washer, and follow it into the boring with 3 or 4" pvc pipe. But I have a washer and jetter attachment.
I am sure there are dozens of other ways to skin this cat, just pick one.