I'd lean to the Schwinn as well. The Huffys are seriously bad, and if you're commuting that far on a daily basis it's shortcomings will become rapidly apparent.
The main thing to be worried about with a Schwinn of that vintage is the condition of the main bearings... The hubs, bottom bracket, and headset.
It is not possible to really examine these bearings without taking the wheels off and turning the axles by hand, and without taking the cranks off and turning the bottom bracket spindle by hand.
Replacing these bearings is easy and cheap if you are experienced and have the requisite tools.
If you have to pay a shop, you may be adding considerably to the purchase price of your bike.