There’s no real reason to jump into another market unless your goals shift and your current market doesn’t fit anymore—or if the market itself stops producing the results you need.Mastering one market and squeezing every opportunity out of it is a much better play than spreading yourself too thin and getting half-baked results in multiple places.

I recently took a leap of faith and invested in a mentorship program with Tom Zeeb and his Total Traction Real Estate Mentors program.

For several reasons (property taxes, politics), I would prefer to begin real estate investing somewhere other than locally. 

Part of me is considering buying more real estate though.

When I spoke with a real estate professional, she said the home would probably sell for around $250k in its current condition.

What you have described sounds like a real estate  race to the bottom and you will be in the lead .

Any type of investment real estate anywhere in the US can be sold and replaced by any other type of investment real estate of any number of properties anywhere in the US.Washington to CA is perfectly fine.  

Build a local team, including a trustworthy real estate agent, property manager, and inspector, to help you identify and manage deals remotely.

But if I do that my time would be so limited to when I could work on my real estate.

Seller of said property is not willing to do terms.I go forth into the MLS or elsewhere and find a seller on any type of property willing to do the terms I want AND is ok with me selling their property and substitute the collateral with another real estate asset of same/more value.