I also do a pre-screening questionnaire over the phone before I agree to a showing.

Introductory calls are "networking by phone" I have a 3 year old daughter with sole custody.

The feedback seems a bit general or maybe you just condensed it for the post...If not, I'd personally have a chat with your agent about what they are asking in those follow-up questions and hope they are assertively making those follow-up phone calls with your showings.

You don't ever want to double book and have to cancel one of them.And the guest giving a phone number in the first message like in your original post is against the rules and the guest knows it. 

I can't write my phone number in this post because BP moderators will take it down, but you're welcome to text first and we'll find a mutual time that works. 

What about tenants that don't have smart phones or  aren't comfortable using mobile apps? 

You will find that lenders will reach out to you and try to ally alongside you (I know I have received a few emails and phone calls from different lenders trying to offer their services) but few are willing to 'teach' you.

No more getting your phone blown up with questions!

Would you be open to chatting on the phone ?

If that person were to get hurt somehow and then expect you to pay the medical bills or become disgruntled in some way it is just a phone call to DOR, OSHA or L&I.