I'm not sure the premium vs the basic version (I only have premium) but for any property, I can itemize the purchase price, current value, tag the associated mortgage, my assumption on appreciation, its rental income, all of its expenses (including taxes, yearly mainteance, capex, insurance, HOA, property management, depreciation and other), its estimated sale timing/and fees. 

Welcome to BP, I hope you find a chance to engage with the community while you're lurking as well!

You can also look at Schedule E, which connects to depreciation, though it won’t show the exact cost basis.Since depreciation affects the final cost basis, you might want to ask your CPA for a summary of your properties' bases to save time in the future.They should have a system where we can give you not just the basis but also a detailed gain (and estimated taxes) calculation within a day.

What are the chances the owner will get my letter with a property management company in place? 

Chances are stay away from new homes. 

I don't think it is that accurate sometimes, but combined with the review on the 2 OTA's, you should get a pretty good idea.You can also go to Awning.com's estimator - https://www.awning.com/airbnb-estimatorIt is free and pulls the same basic data AirDNA does.

It’s a great chance to invest in new construction that’s leased and fully managed from day one.

If it is mortgage to the max, chances are you've pulled that money out to make it work elsewhere. 

I'm in the middle of a live and flip so if you want to talk house hacking or construction happy to answer any specific questions.A few resources that might be useful for you given what you're looking for, I know they've helped me:The Book on Estimating Rehab Costs by J ScottThe event and meetup forum here on BP for finding IRL events to go and meet other local investors and soon-to-be-investors Setting keyword triggers here on BiggerPockets for things like Denver, House Hack, etc so that you don't have to go out and search for the information, the information can find you!

There is always the chance that those reaching out are on the up and up, but I would proceed with a large amount of caution.