See if TaxCaster will meet your needs. It's at https://turbotax.intuit.com/tax-tools/calculators/taxcaster/
Overall though, as a long term owner of rental property myself, I can tell you that if you have a mortgage on the property, chances are you will never show an actual taxable gain for each year you own/operate the rental. It depends on your rental income to expense ratio. Making the rent higher than the mortgage payment does not always produce a taxable profit each year, though you will definitely have "cash flow".
So there's a high possibility that your tax liability will not be changed by the rental, until the tax year you sell or otherwise dispose of the rental property.
