Bad news! I'm a teacher too
OK a couple apologies - this is really LONG and I've probably said a bunch of stuff you already know - sorry.
I had a bad head gasket and it would pressurize the cooling system. So this is how I checked it. Disconnect dist wiring (green connector) so engine doesn't start. Pull all 4 spark plugs. Fill cooling system and put overflow hose into clear jar of water so you can see coolant or air burp out. Crank engine on starter for 5 seconds or so. release pressure from radiator cap - no coolant or air should burp into jar of water. Put in 1 spark plug and repeat test. If it burps refill cooling system and put the plug in a different cyl to test that one.
I'd bet you're right and will find that there is a leak between #3 and #4.
I drove to Los Vegas and back on a leaky head gasket (it was not very leaky!) and the head was not cracked. The head gasket was part of a CHEAP gasket set (probably Chinese made). Pay for a good head gasket. I got a Felpro gasket from Schucks for about $30 and it's been fine.
When I replaced the head gasket I did not remove the manifolds or the dist. and the only gasket I replaced was the head gasket. You may want another exhaust manifold to pipe gasket though. It took about 6 hours at my slow pace to replace the head gasket - but I stopped for lots of breaks.
You don't have to pull the rocker shaft, the water pump or the lower crank pully. Suck out or soak up all the extra oil in the head so it is easy to see the head bolts and it does not drip oil everywhere when you lift it.
You will need a 3/8 drive 12mm deep impact socket to get to the head bolts (please check the size - doing this from memory). If the socket does not get by the cam on the driver's side center bolt, rock the cam slightly.
Stuff paper towels in the cylinder and an scrape the top of the block with a stiff steel scraper. I think I used a razor blade too. Clean and degrease with white gas. I did the same with the head. (I put the cyl head upside down on a wooden box the right size to support it without bashing the carb.) I spent a lot of time making sure nothing was left on the head or block. (also make sure it won't drip oil onto your clean surface when you put it back on).
Check the old gasket for the area of the leak, if you can find it. Make sure the head is not eroded at the site of the leak or between the leaking cylinders (feel with your thumbnail or use a steel ruler over the area). It's probably fine. Cracks usually form at the exhaust valve seat and usually run to the spark plug hole. If the aluminum is very clean it should show up as a black crack when you drip some dirty gasoline on it. I'd bet the gasket failed between cyls 3&4 (there are 2 small cooling passages very close to the edge of the cyl there) and that your head is not cracked.
Machine shops can flat check your head with a precision straight edge and feeler gauges. A good quality level or framing square might be used too - but check using both sides of the level or square in case it isn't exactly level or square. Toyota allows 0.002" warpage. It's probably fine unless you see evidence of overheating.
Torque the head bolts cold when you install the head. I always go back over them 2 or 3 times because I'm superstitious. Put the whole engine back together and ready to run. Now this is the important part. Retorque the head bolts with a hot engine (like adjusting the valves). Don't wait until the engine cools using some high minded rationalization like "Aluminum expands more than steel when hot so it makes sense to retorque cold." (ask me how I know

) The manual says retorque hot.
If you need the head rebuilt a machine shop can grind the valves for about $100. Call around. I took the machine shop the bare head with only the valves in it. The machinist disassembled the valves, cleaned, milled the head, ground the valves and seats and reassembled the valves for $100. A great deal. If you go this route, get a good quality head set (Cheap valve cover gaskets are too short and leak at the front, cheap head gaskets leak) and replace the cam seal.
Let us know how it goes.