Depending on the leak you might not lose any or very little. You can get a "sniffer" at Napa that will test for combustion gasses in the rad. It's not very expensive and a good tool to have around. It's a test vial and some fluid that changes color depending on gas presence and engine combustion type.
It will at least help in the diagnosis process.
Just a side note. Pulling a tstat CAN make an engine overheat as fast as anything. A true test for them is to put them in a pan of boiling water and a thermometer to verify their operation. In twenty years I've seen exactly one thermostat actually fail. I've replace many, but that was either preventative, or throwing darts.
Some good reading.
http://mtiservice.blogspot.com/2012/09/ ... e.html?m=1