Several agent colleagues of mine have lost deals in the last few days because their buyers have been unable to obtain the loan that they would have been able to get a month ago.

It is taxable, just not when the distribution is made.Using your example, if all LPs invested $100K and you've refinanced the property with a loan amount high enough to return $150K, you were only able to obtain a loan large enough to do that because the property went up in value.So you distribute the $150K. 

What type of loans do I try to obtain from the bank?

We obtained a regular conventional loan with 25% down.

We obtained a regular conventional loan with 25% down.

This is enough as far as you don´t have any major issues (that you need to take to the court).

@Jennifer T. you are not alone.

That being said, I know it can be more difficult to obtain a loan with a business that does not have a financial history. 

We are looking to expand beyond that, to obtain buy land/house with 2+ acres of land which can be subdivided and built houses on.

These vehicles are not a means for you to obtain access to tax-sheltered funds, but rather a way to deploy the tax-sheltered funds differently.