Paul:
In my opinion, probably the greatest evidence of similar characteristics between the horse, equestrianism and early golf architecture (Steeplechase golf, as you call it) was in America, not Britain. Hence all the combination clubs over here early that developed golf courses called Hunt Club this and Hunt club that. Many of them were hunting, steeplechasing, horse racing and polo.
We're talking here some really significant early courses like Myopia Hunt Club. Brookline, Piping Rock, Old Westbury, Meadowbrook Hunt etc, etc. Even a few later ones like the combined Bidermann/Vicmead Hunt. The list is long.
What are you hatching now in that over-active little "outside the box" mind of yours? If it's some combinations in look, style or ethos between the early world of the horse and the early world of golf course architecture, I'm right with you. I'll plug in some interesting history for you in that vein that'll blow your soxes off. Maybe we could even go investigate old Fort Devins, Kansas. That's where all the old aristocatic polo players and such went when they had to go into the military. It was an old cavalry base. Just think, a combination military, equine and golf architecture nexus. You'll go nuts with ecstasy.
Didn't you hear me mention the post and rail fence yesterday? What did you think that was all about---cows or something? It's vestiges of the horse world plugged into golf course architecture.