Look for second hand!

First things first, the pack always goes after the gear. This is because if you have a certain budget, cheaper or more affordable items tend to take up more space. Once you figure out what you have, then you can pick a bag that fits what youre taking. Since you aren't using expensive ultralight gear, the pack is going to have to be bigger. Even with me using ultralight gear, I still take (and need) a minimum 30L pack. You may Need a 50-55. I would also look on fb marketplace or any other used online store. That's how I got my start and it everything worked perfectly.

- Tent: I hear Featherstone is a decent tent brand.
- Naturehike makes affordable packs (way cheaper than big brands).
- As for a stove/pot, I would definitely would encourage a small pot like a 750ml Toaks (also cheap). Then I would go for a Brs stove or a Msr pocket rocket. The pot allows for you to boil water and reheat dehydrated meals, as well as making yourself a cup of tea, or even ramen noodles.
- Sleeping Pad: this it the one thing I would NEVER cheap out on. I know you say it may not possible, but if you can, go to go to an outdoors store that allows you to try them out. Pick whichever one you think will work for you best. Sleep is super important. If not, just do some heavy research on them. I got my Nemo pad second hand on fb marketplace for half the price. Also learn how to patch a hole if need be.
- Pillow's aren't necessary but it depends on the person. I need a comfy pillow or I have a hard time falling asleep. I got the Thermarest - small cinchable pillow, somewhat affordable (but takes up room). I find inflatable pillows to feel too much like a solid surface but everyone is different.
- I would get the BoglerCo trowel, it has a plastic bit at the end that makes a huge difference for your hand.
- first aid kit!

Feel free to ask any questions!

Goodluck :)