FIFY. This is where the phrase "Drive for show, putt for dough" comes from. Sure you can full swing that sand wedge 120 yards but can you put a quarter swing on that same wedge from 35 yards out and consistently knock it close? What about a 3/4 sand wedge from 75 yards out? The most gains can truly be made around the green. Yet it is typically practiced the least. But really it can be extended up to 100 yards out. And is free to do, whereas a large range bucket here is around $7.50.
Prevent chasing the ball around the green by developing touch with a simple drill. Start with a number of balls. 5, 10, 20, whatever. Start with your putter and hit a putt 2-3 feet. Then try to hit each consecutive shot about 6" past the last putt. Work your way as far out as you can go. Do the same with a wedge, working your way from a short, green-side pitch shot swing all the way up to a full swing.
It's funny watching people go to the range and just pound on balls with a driver the whole time. You (generically speaking) hit driver 16 times per round, max. Long to middle irons, sometimes not even that much, at least I dont typically.You spend most of your time hitting mid to short irons and putting. Yet, let's pound the Big Dog. We spent all that money on him, he's gotta eat. Makes no sense. Here is a tip, the average large bucket of balls contains nearly the same amount of swings as par for 18 holes. Which means you should be hitting nearly every club you would in a typical round.
Like was said above. Just put an easy and simple (mechanically speaking) swing on it and put something in play. Repeat with your second shot. You should be close enough now to put something on the green and at worst two putt. Easier said than done but it's not rocket science, no need to overthink it or overswing it.
I too worked at a golf course through High school and college and I was lucky enough to have had the advantage of getting free range balls and golf. My best friend (who also worked there) and I would hit a giant bin of balls a day before my shift or during my buddies shift while he was picking the range. The bin was approximately 7 large buckets of balls. Oddly enough, we spent even more time on the practice greens and even though the range helped me immensely, there is no replacement for all that work put in on the greens. And by immensely I mean, I went from consistently over 100 as a freshman to a 4 handicap as a senior and I owe the majority of that to work around the greens. You can't make up for the touch you can gain. It also forces you to get creative too, mostly because hitting the same shot hundreds of times over can get boring, which really pays off with some of those tricky shots we can find during a round.