Hello my name is Mark.
If you are getting antifreeze in the engine oil it is either going to be a water pump issue as this is mounted inside the timing cover or a head gasket issue. I would tend to believe it is more likely a water pump issue. Can you get access to a pressure tester to pressurize the cooling system? Are you seeing any coolant leaking on the ground?
There are also products available at most parts stores that can be added to the cooling system to test for combustion gases........which would indicate a head gasket issue. These are inexpensive and are generally referred to as a "block tester".
DIAGNOSIS AND TESTING - COOLING SYSTEM LEAK
With engine not running, wipe the coolant bottle neck sealing seat clean.
Attach a radiator pressure tester to the coolant bottle, as shown in (PRESSURE TESTING COOLING SYSTEM) and apply 104 kPa (15 psi) pressure. If the pressure drops more than 2 psi in 2 minutes inspect all points for external leaks.
All hoses, radiator and heater, should be moved while at 15 psi since some leaks occur while driving due to engine rock, etc.
If there are no external leaks after the gauge dial shows a drop in pressure, detach the tester. Start engine and run the engine to normal operating temperature in order to open the thermostat and allow the coolant to expand. Reattach the tester. If the needle on the dial fluctuates it indicates a combustion leak, usually a head gasket leak.
WARNING: WITH TOOL IN PLACE PRESSURE BUILDS UP FAST. ANY EXCESSIVE AMOUNT OF PRESSURE BUILT UP BY CONTINUOUS ENGINE OPERATION MUST BE RELEASED TO A SAFE PRESSURE POINT. NEVER PERMIT PRESSURE TO EXCEED 138 kPa (20 psi).
If the needle on the dial does not fluctuate, race the engine a few times. If an abnormal amount of coolant or steam is emitted from the tail pipe, it may indicate a faulty head gasket, cracked engine block or cylinder head.