@Clayton Smalley You will only be able to pull out up to 80% of the property value on a refinance, which for you would look like ($240,000 x .8 = $192,000 - $179,000 = $13,000). Refinancing your loan to $192,000 probably wouldn't significantly help your cash flow situation, and the $13,000 would only get you into a cheaper rental somewhere out of state (in a possible war zone unless you have additional capital to also invest).
If you sale at $240,000, however, you would probably have around $45,000 after selling fees to invest elsewhere. I would recommend doing a 1031 exchange on this money into another property or possibly two. Are you interested in investing locally, or out of state? If you are looking out of state, you could probably acquire two properties that combined could cash flow much better ($700-900/month). Locally, you could invest in a MF property and possibly see around this much in cash flow as well. Invested locally in a single family home in Utah, you could probably expect a $300-450/month cash flow.
I hope this helps! It appears you would be better off considering selling. If I can be of any further help to you, just let me know!