I have a Kelty Redcloud 110 that I really like. I haven't packed much for game, but I have done a lot of backcountry camping trips with heavy loads. It also cinches down to make a decent day pack if you're hunting out of your truck. I can shoot my bow very well while wearing it. You can get it on amazon right now for $170, which I think is a good deal. It's obviously not a Mystery Ranch, but it does have a decent frame and can probably fit more than you can carry being 110 liters.
https://www.amazon.com/Kelty-Cloud-...1513804641&sr=8-1&keywords=kelty+redcloud+110
I echo what everyone says above on the sleeping bag scenario.
There are quite a few 3 season tents out there right now for good prices as well. I spent a week in the ND badlands with my brother (both of us are about 6'4" and lanky) and we both slept in a REI Half Dome 2 in a blizzard. Don't think that you need to spend the money on a 4 season to really camp 4 seasons. Here's another good example of what seems like a decent tent with aluminum poles (very important in my opinion) and a decently low weight that is brand new for $110.
https://www.amazon.com/Kelty-Salida...804869&sr=1-3&keywords=kelty+backpacking+tent
Both of these happen to be Kelty, but I really don't have any brand loyalty towards them. There are quite a few other examples of quality, budget priced gear.
If you were to purchase both of those new, you would have an extra $200 to spend on a damn good sleeping bag and all of it would be brand new. For $200 you could go either down or synthetic and be comfortable down to well below freezing. You could definitely swing the Big Agnes bag above and have room in your budget for a few extra Snickers bars for the journey.
You mentioned a stove up above: I have been using the same cheapo from amazon since college. It's butane and weighs nothing. I think this is basically the same thing:
https://www.amazon.com/Ultralight-P...&qid=1513805917&sr=1-11&keywords=butane+stove
My thoughts are that you do need to have a certain amount of gear to get into backpacking, but once you get things covered with fairly decent things that work, you can always save up and replace one item a year or so with something that is truly excellent. Just my two cents.
Let me know if you have any questions.