You score is based on more than inquiries here in the USA. 

i would be curious to hear if the owners are receptive or if they are getting inundated with inquiries.

Alberto Stein Rios Unless you are looking for a hard inquiry, I had my tenants to submit the credit screening on Cozy.co.

Trying to keep up with all of the inquiries heheGrazie Mile and speak soon :)

I can envision a service which offers those screenings reports for a a one time fee and assigns the tenant an access code which can be used by several different landlords over a set period of time (say 90 days), or for a certain number of updated inquiries.  

Are there any ways to protect your credit from all these soft inquiries?

When looking for any information regarding your credit this link for www.myfico.com usually is the best place to start.Here is what Myfico says about credit inquiries...Looking for a mortgage, auto or student loan may cause multiple lenders to request your credit report, even though you are only looking for one loan.

I've had several inquiries.  

They did not even reply to my inquiry about a note that I sent in last week via their website form.

You can check your score online fromFreeCreditScore.com or CreditKarma.comHard inquiries hit your score, soft ones do not.You can also contact a loan officer who can pull it for you.