C.C.
Without more information, it's hard to tell. A short sale looks almost as bad as a foreclosure on your credit, because your lender will report a write-off. That's sort of like having a loan of $x and defaulting on it. (Say if your loan is $200,000 and you can sell the house for $150,000, then they have to write off $50,000.) But, if your other choice is going through foreclosure, then sure, short-sell the house. Something to think about is that the bank(s) who hold hold loan(s) on the house will have to approve the price of the sale. It's a looooong process and a lot of realtors won't even take their clients to see short-sell houses. My husband's a realtor and one of his clients is in a short sell contract right now, and it has been dragging on for 5 months now. AND now the first mortgage is making noise about not wanting to accept the sale price. It's insane.
I'm not sure why you need to sell your house, but you could also think about renting your house out. If you could get renters to cover most or all of the mortgage, that may be one way out without selling the house just yet. If renting won't cover anywhere near the mortgage amount, then you can try to negotiate something with the lender(s) to lower your payments. It's not easy, but sometimes they will work with you. Worse comes to worse, short sell it. It's not the end of the world. We had a failed short sale on our last house, and it ended up being foreclosed upon (we bought at the height of the market in 2006 and then my husband became unemployed... sort of the perfect storm financially). Actually, it wasn't nearly as horrible as I'd expected it would be. We lived through it, got out from under the house payments, and are in a much more affordable situation now. Life moves on!
Good luck with everything.