For example, realtor, escrow, inspection, home search, etc.

For example, you want to know if the seller has been doing snow removal for the past winter because one tenant broke his leg, even though snow removal was the tenants' sole responsibility.What issues, if any, have you had with the current and past tenants?

I know of mortgage products for example that will allow you to look at the income being generated from the property itself (don't care about W2, tax returns, etc).

I would say schedule your exam very soon after you take the coursework, so the content is fresh! 

Does anyone have any examples/stories of deals where they used someone else’s credit to get a mortgage?

For example (not including closing cost) I could only find 1 $400k property within the 45 days.

The link above provides a simplified explanation with examples which I found to be very helpful. 

My best option, seemingly, is to build as much capital and equity before I transfer, and start fresh in a ideal market.

That's not to say that there may not be portfolio loans out there that don't have similar things (i have seen some that need to wait 12 months for example) so don't seek a "delayed financing" thing at all. 

I was doing example a mortgage calculator giving me $1,300/month(PITI).