The funeral is a personal preference, not required, embalming is not required unless the person dies out of state and wants to be buried in another state, then a body must be embalmed before it crosses state lines
You will need a casket for burial even on your own property. When the funeral director takes the body from where it died, you will tell them what you want done (embalming-no embalming-services-no services) they will issue you a death certificate before the body is buried, and most will even assist with life insurance, social security issues (if any).
You will still have to pay some funeral home expenses even if no services were conducted such as body pick up, Storage, transportation to the cemetery, paperwork (death certificate fees) and any other state required paperwork.
This type of burial is pretty common these days, and it saves $7000-$8000 and if there is nobody to attend, then it is truly a waste of money. Funerals are done for the survivors not the deceased.
The funeral director will try to talk you into a lot of unnecessary stuff, because the type of service you are wanting makes him very little money. If you still do not want a public showing, he will try to sell you the most expensive casket he has or can get (huge mark up). But remember this, they all leak so do not fall for that stay dry business, and if he tries to sell you a sealing casket with a rubber gasket that seals when the lid is closed, no not fall for that either. Those caskets will make the remains inside explode because there is no way for the natural gasses to escape causing the body inside to basically blow apart (they will want to charge you almost a $1000 more for this type of casket)
For what I understand you want, you want a simple burial, no frills, no viewing, just burial.
You will have to check with the cemetery because they may require all burials be completed with a burial vault, a vault prevents the ground from collapsing around the grave causing uneven ground, plus prevents the weight of the earth from over time destroy the casket because of the weight of the dirt laying on it, it also prevents critters from getting to the body, and ruining the scenery and makes it hard to maintain (lawnmowers, etc), so check with the cemetery. They are not state required, but maybe locally or cemetery required.
In some states you can bury a person on your own land, but that requires embalming, and local approval. The burial can not be near a water source, school, etc. Your local government could give you the requirements if you want to go that route and save a couple thousand dollars on a plot.
Family in the funeral home business for over 30 years