Or a buyout refinance between the construction phase and the permanent financing phase. 

If you have hard cash to purchase them, there is really no limit on the acquisition, it will be more on the refinance if you decide to keep them instead of selling them in the end. 

(Leaving me with enough credit to complete the rehab) I understand that the goal of the brrrr method is to have the ARV higher than the initial cost of the property, rehab, and all other closing costs in order to refinance which will pay back the line of credit left with just a mortgage that the tenant is now paying.Is it that simple?

One person might be taxed at 30% while another might be 47% in a higher bracket and higher tax state.The most common way to reduce tax liability from flipping houses is to refinance them and keep the flips as rentals.

Not many  cash out  programs  for  land  out there ... try  smaller local  banks /  credit unions that  are  familiar  with the  area...if you have  another property - you might ask  for a  " cross  collateralization "   type   cash out refinance  

I haven't made the purchase yet, just want to make sure I'd be able to refinance for a BRRRR.  

Refinance cash out?

I'd like to refinance them under my LLC so that they are no longer intertwined in my personal credit.

Then I'd be able to refinance later on and increase the equity?

Part with the cash for 2 years and then refinance once you meet the lenders criteria?