Should I contact "Fast cash for your home" flyer?

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My mother passed away, left me her house which is clear of any mortgage or debt and now have to decide how to sell it?

I already have my realtor lined up and was wondering if i should call one of the numerous "we buy your house for cash" flyers which i have been receiving in the mail since my mother passed.

Comps in the immediate area for single family home with similar specs within 3 months ago are priced between $335K to $375k (zillow has single family homes with same specs ranging from $400,000 to $425000)

What kind of low ball offers should I expect?

Suggestions would be  most appreciated