You cannot wire a 4 wire dryer plug into a 3 wire outlet for mobile home use - (US NEC) - you must carry all four conductors all the way back to the distribution panel.
In a hard wired house...
Use a UL approved grounding adapter for this, it has either a fork terminal that goes over the wall plate's screw, or an actual pigtail that must be attached to a good ground.
Can you combine the black and red wire and connect it to the black wire from the house and have standard 110V service? Just take a little longer to cook?