I think you did the right thing by waiting goring, and it is really good to hear that you did. Each season, I pass about 10 animals for one that I take. Unable to get close enough, or the weather being too hot, or being unable to get the animal back to camp in good condition are the biggest limiters for me.
Shooting at extended distances take some gear, but mostly lots and lots of practice. Then more practice. After that, go for a run, skip lunch, then practise more.
The hunters that I know that have safely taken game at these extended ranges use thousands of rounds a year in practise, and burn out barrels regularly.
I know hunters that shoot their hunting rig bi-weekly all year, out to distances ranging from 25m to 800m that would not think of shooting a moose at that distance in anything but 100% ideal circumstances. Those are VERY hard to get -- exact known wind, exact known range, certainty that the rifle did not get some moisture in the barrel during the stalk, certainty that the animal will not move, a comfortable place to get prone, certainly that the bipod will not slip, certainty that there is a clear shooting path to the game, etc.
Ultimately, one of the best parts of hunting is the stalk. Often, the <30m shot took more skill then the X00m one. I saw one deer drop with powder burns this year. Boy did it right.
If you do want to shoot animals at extended ranges, get a rifle in a huntable caliber that does not break the bank to shoot(308 like), and shoot it until you NEVER miss a 3x5 index card(horizontal) at whatever distance you want to hunt at from honest field positions.