This depends on the lender's policies, the property value and your overall financial situation. 

Did you work with any real estate professionals (agents, lenders, etc.) that you'd recommend to others?

I'd speak with a lender about this, but they can probably use your rental income towards the next property or at least use it to help with your DTI ratio.

If I find a lender that’s willing to loan me 100% of the purchase price, rehab, etc., but I have to put in a 3-5% closing cost, is it worth it?

Keep in mind that any traditional lender will have rules and limits for how much the seller can finance in addition to their own loan, so unfortunately it's not possible to combine the two for 100% financing or anything close.John

Here is a summary of the book.https://www.nateliason.com/notes/long-distance-real-estate-investing-david-greeneThe book also mentions the importance of having a rockstar Realtor, contractor, lender, and property manager.

If the partner who is exiting the deal is a guarantor on the loan, this is something that will have to be sorted out with the lender.

I invest in MF as well and am a lender that specializes in working with investors. :) Great to meet you on here. 

But not only appraisers: lenders, investors, insurance, builders, developers, property managers, everyone in the real estate industry.The market is "weird" right now.  

There are only a handful of lenders who offer such financing; I assembled the list here:https://www.biggerpockets.com/member-blogs/2810/50272-list-o...I hope this helps!