For loose/wild/nonhalter broke horses I think heading/heeling works fine as long as the hands roping are seasoned ropers. I've never seen one stifled this way but have heard it can happen if the colts are younger and over streched. When jobs done everything can be turned loose in a hurry. This seems the most cowboy way to me doing as much of the job horseback as possible. :cboy:
Also front footing works good in a round pen or smaller corral this takes some practice and talent, a couple misses and they get pretty sneaky.I've helped a friend/rodeo stock contractor cut lots of studs and we first neck them on foot and then front foot them and then pull the two ropes opposite ways to trip them. Usally takes two men to hold leg rope tight. Gotta pay attention and stay clear of ropes :!:
When they hit the ground somebody gets on the head and pulls it up and holds it with out getting bit or kicked

Front feet are tied together and top back leg pulled up aginst belly and tied then time to operate. Takes time to undo all this though. The person on the head is last to let go. Sometimes if not held up a horse will rake its head along ground and injure eye when laying flat fighting.
Anybody who can single handly front foot and trip and tie down a 750+ lbs. wild stud horse I like to meet and shake their hand :shock: not saying it can't be done.
Also have run horses in bucking chute haltered horse put a real light hair brand on the horse while its standing upright,so brand can be burned in straight in the right spot after it go's out gate. Dos'nt smear the brand leaving the gate this way. Then the vet gives the shot waits a certain amount of time and then the gates pulled horse walks out slowly falls down and goes out. Take the halter lead rope around the top hind leg pull up as far as possible then take a couple half hitches cut and brand. No need to hold head with no fighting. Undo lead rope and spook up horse when vet says ready. horse walks off simple as that.
Also can sandwich horse between corral gates and do this but be careful of gates :!: Unhealthy to get ironed out by a gate
The vet and drug way also works good for any halter broke horse that will stand for shot. I think a horse savvy vet goes a long way when it comes to drugs and horses. We use Dr. Boyd Porch out of Kadoka SD
Could also scotch hobble halterbroke horse and tip them over then tie up with out drugs. Have a outfitter friend who puts whats called a running w on to get a unruly horse pulled down and restrained for shoeing, triming whatever.
I think its good to cut and brand all at once, get this tramatic deal over with. I only hot brand, freeze brands look snazy and make for good advertiseing but are harder to apply and can be tampered with and don't prove ownership legaly in SD.
Ranch Hand and Faster horses are right the sooner they get up and turned out on clean ground and exercise the better. Also vet says don't cut when still cold out.
HMW probably right if you have a pile of them to cut probably best to do yourself save $ Guess it all depends on your facilites and expertise.
Just some of my experiences and rambling thoughts as I'm no expert hope I don't bore as this took me three beers and a hour to type
