It's not a drain plug, it is called a pep-cock. You'll need to know that information if you break it while trying to open it. They will do that because GM likes to use plastic in high heat areas.
More than likely, when you lay down under the front end of the vehicle, you will see a 2"-3" hole in the frame just under the radiator. Normally they are about 4"-6' from the edge of the radiator. That hole is for draining, but is made more for the dealership mechanic so he can open it partially and let it drain for an hour... so, in other words, using the hole to catch the coolant will take forever. A large* pan under the front end will serve you better that that hole. Though a lot will come through the hole, more will come out the sides of the frame and miss your jug/pan you want to drain it in, and be just far enough away from the first stream that if you tried to catch both, you'd make even more of a mess. You might have to unfasten the corners of the rubber splash guard that hangs down from the lower valance/spoiler. Start with the driver side corner, as that is where most are.
If all else fails, cal around and see who has a radiator for it. Go to that parts house and have them bring it to you. Act like you are going to buy it. Open it "to compare yours that is at home on the vehicle" and then when you see the pep cock, tell them yours is in a different place and it doesn't match. Then you'll know where yours is... and you'll know who has a radiator if yours is damaged.
FYI, plastic capped radiators don't last long because the o-rings deteriorate in as little as 5 years. This causes high heat that stresses the plastic and begins the cracking process. Check here http://www.radiatorwarehouse.com/ for your vehicle and play "10 questions" with the automated help desk. At the end of the questioning, they will give you a number to a warehouse near you (might also be in your local phone book). You can order a full metal constructed radiator to replace it. They have them for every* vehicle. Even had them for my POS Saturn and Nissan Ditchfinder I owned, where other major companies said they were not available.
HTH
where is the drain plug for the radiator on a 1992 buick regal custom
Look at the bottom or rear of the radiator
driver'side lower radiator
There isn't one. You will have to loosen the lower radiator hose to drain the radiator.
how to replace a radiator in a 1996 buick regal
total coolant capacity of 3.8L buick regal custom? doing a radiator flush so i need to know how much coolant to buy
How do you take off a radiator for a 98 Buick Regal
Try either the bottom or rear of the radiator--perhaps hidden by lower hose
Google 1996 Buick Regal Custom and see.
on the oil pan
The Sensor for the fans is located on the upper right side of the radiator, ( the Passenger side).
Drain plug is located right on top the right side of the engine where the radiator hose connects to the manifold. That is also where the thermostat is located.