Depending on the area you may need a pool or hot tub since in some locations pretty much every STR has one option.

Toll toll-free number is the option but people don't respond toll-free.

With your May listing and July move-out plan, your agent can suggest strategies for a smooth sale within your timeframe, including flexible closing options.

Michaelis Corp has a good rep locally but you have quite a few options.

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Joseph,I think Owen's advise is your best route to finding out how the price compares to other options.  

Once you have the HELOC funds, you should look into a loan option that covers the rehab budget.

In addition to the other advice I would look into lease options otherwise known as rent to own.

Yes, there are groups that specialize in TIC options for 1031 investors. 

My wife and I have 3 options: 1. stay where we are. 2. buy a second home and rent 1st. 3. sell our home and buy another home.