I hike the mountains in MT multiple times a month. Mostly day hikes but I also do 1-5 day trips whenever possible. I prefer the cold so my gear is oriented to that. I won’t give full descriptions but I’ll link you what I use very comfortably. You can check the items out up/downgrade as needed. At least you’ll have an idea of what can work.

Also, the bulk of my gear money is spent on comfort clothing, not the main items I list below. All wool. Head to toe. Can score nice wool at the good will/thrift store sometimes. Good luck!

Tent – 110.00 got mine on sale for 75.00 so look for deals

sleeping bag – ICW 84.95. I’m certain I paid less so shop around

backpack – Tenzig 2220. 149.95. Most comfortable pack I’ve owned. Currently year 2 of using it. I think I paid 200 so this might be a good deal

Boots – for day hike I use Field Blazer – 100ish bucks for above 0, and Woody Elite – 200ish bucks for below 0.

For multi day trips with no snow I use Vibram – About 100ish bucks. They have low and mid. I own both but prefer the low.

My kit is always evolving but these are some things I always carry no matter what -