The LLC would have to make sure of it's tax situation and it could then take the cash and loan it to you to make the repairs. 

I'm looking for some input on my current situation with getting started in multifamily.

That would allow you to access some of the equity you've created for yourself without selling.I'm actually in a similar situation as you. 

A helpful tool is the NYT buy vs rent calculator, it's not the be all end all, just a tool to help you analyze your personal situation. 

Has anyone ever come across this situation?  

Here is our situation.

The houses are literally next door to each other which is somewhat of an odd coincidence, but I'm now in a situation after completing a full rehab on the property I purchased and finalizing on a BRRRR that I can devote a bunch of effort into trying to obtain the unit next door. 

I don't know who you would call in that situation, but I would definitely call someone before allowing anyone onto the property.

Inventory is low (less than 2 months for residential houses) and there are still multiples offer situations on well priced properties. 

It depends on the situation, but yes if you are making offers low enough that 90% of them will not be in contention, and you are asking for bids on every one contractors will get fed up with you real fast.