Honestly, a 3’ hunter probably isn’t putting enough strain on their legs to warrant too much after care unless there is an old issue. My eventers didn’t typically see ice or bandages until prelim (3’7", with galloping), and even then they only got wrapped if they were stuck in a stall over night.
In this horse’s case, I would be sure she got plenty of hand walking before putting her to bed at a show and again first thing in the morning, or even a hack around the show grounds. Ice or cold hose never hurts, though probably isn’t totally necessary at this level of work. And, the very best thing you can do for ANY of them, if it’s an option, is turn them out. Movement is what keeps them loose and limber and pain free. Not always an option, which is why lots of hand walking and lazy hacks will help.
Fwiw, poultice and liniments do basically nothing except make us feel good. Poultice makes legs feel tight, but they just tighten up the skin. Liniment might feel good, and I do occasionally use it, but it doesn’t have any big benefit. Wraps are ok for those that stock up over night, but, again, movement is best. steps off soap box