Kenmore upright freezer, about 16 cu ft. Buildup

I had this same issue and all repair service could do is stop beeping. Finally I sold my refrigerator for cheap and got a new one.
If you don't have the proper equipment to adjust door and seals. better call a repair service and hope they in your case, should help.

check the gasket around the door very likly that the door gasket has a gap or is not mounted so that will make the freezer run all the time,

kenmore elite, alarm kept going on and b flashed on and off. I finaly figured out on bottom of freezer there is a battery door open it and change 9v. thats it,

I suggest checking the defrost circuit. Make sure the drain in the back of the freezer is clear first. Then check the defrost timer, switch, and heating element using a volt meter. You can download a schematic from the Sears/Kenmore website.

This sounds like you either have a bad fan motor or if you have ice built up on the inside back panel. It could be that the fan blades are hitting ice built up around it. If so, you will have a defrost problem that will need to be addressed to fix the unit. But to repair it so it will stop making the noise, you can defrost the ice (if present) with a hair blow dryer. This will keep the ice away for a few days. Good luck.

If there is a defrost problem, the heater (located around the coil) is most likely the problem.

Very possible the door seal is not properly sealed. Warm inflowing air onto a cold coil will cause ice build up at the lid.

The excess frost in those areas is probably caused by leaky door gasket seals. They should be tight enough to hold a dollar bill securely all the way around. A defrost problem would start on the coils behind the back cover inside the freezer and would also appear on the back wall before it did on the door edges.

The door seal is at fault. Regardless of the small tear it is not sealing well.
Take a dollar bill and close it in the door. Then pull on the bill to feel resistance.
You will find it pulls easily in some place. That is where your air leak is that is causing the condensation.
Do this about every 6 inches all the way around the seal.

reason is that the evaporator is blocked with ice and hence no air circulation.
either
switch off for 24 hours with doors open
or
remove back panel inside freezer and melt ice off with a hairdryer

Where do you see the water coming from ?