As you can see from my profile picture, I live in snow. Even with the crappy tires a Ram with 4wd should go in 6 to 12 inches of snow, even on a moderate slope. So here's my advice. FWIW...
- Read your manual's 4wd section thoroughly so you know which transfer case yours has. Most 2019 to current new style Ram 1500s have an automatic 4wd selection, while most Classic 1500s don't. Automatic 4WD engages when excessive rear drive wheel spin is detected. It prevents getting stuck in "most" situations. When its not slippery only the rear wheels are engaged.
- If you have automatic 4WD, use it whenever roads could be slippery. I leave mine on most of the winter. A green light on the dash goes on when its on.
- Don't use regular locked 4WD unless 4WD will be needed continuously and be careful about speed, especially on curves. Why? Because 4wd locks the opposite corner wheels together (and if you have locking diffs it locks all wheels together) reducing (or eliminating) differential action. Wheels on the opposite corners of the truck spin at the same speed and may put the truck into a sideways skid on tight curves taken too fast on the slipperiest snow and ice.
- Traction control: I leave the traction control on until I get stuck.
- Once stuck: Traction control off, regular 4wd engaged. I gently rock the truck and try to follow my footsteps back to where I came from. I'll rock it back and forth a few times.
- If still stuck, then I open my 50 lb bag of sand, shovel a bit of snow out from around all 4 wheels and throw some sand behind and in front of each. I take a look underneath to see if its hung on something. If not hung up I repeat the rocking action while in 4wd high, traction control off.
- What if I am still stuck? More sand. Lots more sand. Lots more digging of snow from wheels and from the direction I want to go. I double and triple check under the truck to see what I am hung up on, because unless I am in a ditch this thing should be moving by now! Try rocking it harder again in regular 4wd, allowing wheels to spin more.
- Put truck in 4wd low, no traction control. More sand. At this point its past time being gentle. After I am sure I am not hung up I try to over power whatever hump of snow and ice I am on. I let it rip, give it the gas, let wheels spin. Rock it hard a few more times.
- Still stuck? Sorry. You need help. Try to get a friend to tow you out. Use tow straps. Read manual for where you should hook up tow straps.
- Don't get friend stuck too!
- Call for a tow truck. Sorry. Make sure truck is in neutral, follow all towing procedures in manual. This is where truck's transmission, transfer case and undersides can get really messed up.