New York income tax for Texas remote employee

I live in Texas and I was recently hired by a New York company. To my surprise I have to pay NY State income tax. Will any of these scenarios help me to be excluded from paying NY state income tax?

1. My company has an office in San Francisco - on paper, can I be placed as an employee of the SF office and continue to work remotely in Texas to allow me to be exempt from NY tax. 
2. My company purchases coworking (like at WeWork) space for me to go to work every day in my hometown in Texas. I'm not working from home and I'm working from an office space provided by my company in Texas. Will this trigger the rule where I'm only taxed NY income tax on the days I visit the NY office? They expect me to visit the NY office about 6 days a year. 

Any other ideas or advice is greatly appreciated!