Perhaps as a syndication or credit fund?  

I went to my local credit union, Wells Fargo, and United Bank and each one turned me down after "checking with legal."  

Before you get too far, I would go talk to every local bank and credit union in the area you want to do this. 

Hi Shakti, As a lender we do work with US-visa holders as long as they have an established credit score in the US.

The seller doesn’t need to know that the underwriters may give you more of a hassle than other buyers.Or do you have lines of credit or a private lender so you can make a “cash” offer then try to get the financing through before close or at worst just do a cash out refi after close?

We have credit scores over 730 and have been "soft approved" for around $750k. 

Your local credit union or bank should be able to help you with that 

If you're not careful, the administrative requirements can trip you up—but when done right, the savings can be well worth the effort.For those of us scaling our portfolios or actively managing real estate deals, the conversation about structure isn’t just theoretical—it directly impacts how we protect our wealth and position ourselves for long-term growth.What I’ve found is that many investors don’t realize how critical their personal credit is in setting up these entities successfully and accessing the funding they need to operate and grow.

I would add research your state's creditor protection laws and think about keeping an open ended line of credit if you need to deploy capital later

What documents do they require, what credit scores do they allow, how do they verify previous rental history, etc.?