I feel like going after them is going to prolong the already delayed process.

Over time, you will be losing out on revenue and just prolonging the inevitable move out when they can no longer pay the rent.  

Not to make a million dollars on an assignment fee or to hold the property hostage for a prolonged periods of time.

Or do you think that might just be prolonging the inevitable?

Rents will be higher (unless they set some rent cap) because Landlords will raise rents when possible to prolong the need for any increases on current Tenants to avoid the 90 day rule.

You run the risk of turning off potential buyers and prolonging the sale process by pricing your property too high.To price your property competitively, follow these tips:Research the local real estate market to determine a fair price for your property.Consider hiring a professional appraiser to determine the true value of your property.Be willing to negotiate with potential buyers to reach a mutually beneficial agreement.Rather than reducing the price first, consider giving them other types of concessions.Remember, most listing sites have ways to filter properties by price.

A good friend of mine suggested I should take her as my tenant because what was perceived to be a prolonged softening rental market that is happening and extremely limited quality tenant pool. 

The waiting of the 30days for the city doesn't solve the issue as it prolongs the inevitable.

  - Make sure you do not take prolonged breaks between assignments. - If you have been a nurse for a while, ask them to average your income with the income you were making prior to traveling. 

I told my tenants I wanted to sell and of course they wanted to prolong their move until July due to the children schooling/hassle of moving.