I play mostly tightly wooded courses( part of living in the south). It is a lot of mental game, but disc and line selection are key. Play conservative, focus on staying on the fairway rather than parking it on the green, keep it fun, and you'll start improving with every drive.
As far as throwing a solid drive in the woods:
work on not running up. A lot of times, I'll only take the single x-step, or I'll stand still with just the follow-through step forwards( much like I throw mids). It helps to work on accuracy and getting a good snap and release.
Always visualize the line and the landing zone before you throw. Keep it in your mind as you throw too. A big part of this is knowing the capabilities of the discs you throw, and how you use them.
And then the disc selection. I throw mainly RHBH, but will throw FH or thumbers as needed. For this, we'll keep it to BH shots though.
I suggest something like a River. It's relatively slow for a driver, great at control/shaping lines, and has a lot of glide to give you more D. Also, it doesn't skip away like a lot of faster discs do...especially on leaves, pine straw, or other wooded terrain. It comes in durable plastics and doesn't beat in much, so you can learn it and it'll stay the same through the course of many many tree hits. Because there will be a lot of those.
Just focus on a smooth, clean throw, hitting your line- not the basket, and laying it up for an easy approach.
Then work on mid-range recovery shots from the rough. This is my strong suit in the game, and is crucial to shaving strokes as you learn the woods. This part is all about personal preference, but I like to aim for dropping the disc into the basket without hitting chains. This conservative approach usually ends one of two ways:
Either I hit that birdie without splashing the chains, or the disc drops right up under the basket for an easy par.
Be happy with pars and don't try to force any birdies -- let them come naturally as you progress.