I am also a loan officer so please reach out if you'd like to hit the ground running on your financing.

Get the loan first and then arrange things for however you want to do it

If you unfortunately find yourself in a similar situation hit me up, I'll put you in contact.  

Currently only 335k left on the loan but the property at the time of refinancing appraised for about 550k.Are there any options for them to utilize equity maybe or some type of loan program that would put a lien on the property to get the issue fixed?

I would recommend Baselane for your situation.

I don’t want to bother her with signing offers that will be rejected without consideration.An example of this is a house with an outstanding solar loan on it.

Or is this a situation where you would do this only if you would lose the deal otherwise?

Your comment on distribution and contribution makes sense though That term is usually used for when the loan/mortgage is under your personal name and then you transferred the deed to the LLC.But if you meant just commingling funds, that's usually a no-no but you must make it clear in allocating those funds between contribution and distribution so that you have a paper-trail of what happened to that money and this way it won't be labeled as commingling

the arv is best to get an opinion of a realtor and then an appraiser in the loan process 

I understand everything is situational based and it could be several different factors but it likely has something to do with the area you're investing in.