I've run generic steels on my liberty with the correct 71.5 hub. they were 16 x 6.5 with around 5.5 inches of BS. Offset in the 41 - 42 mm range based upon not rubbing on the sway bar at all but was close.
They are now currently being used on my Fusion which has a similar size requirement using hubcentric rings. ie 71.5 to 67.1 adapter ring. ~$25 bucks for 4.
If you have the rim, put it on your hub and see if it mounts correctly as the santa fe rim has a smaller diameter hub.
Measure backspacing while your at it for a guess if you mount something like 235 70 16 / 225 75 16s if it will rub on sway bar.
Its reasonably common for generic rims to be a larger hub diameter to fit more "cars" so you may luck out. If they are factory hyundai rims then they might be the 67.1 that you mentioned.
If you can find the factory offest on that wheel it would also be helpful. Most KJ's can take between +44(tire kisses swaybar at lock) to +12(tire fully covered by flares) or so but as a function of tire diameter/width and if you have a lift or not (smaller offsets requiring more clearance inside fenders).