If you want someone who is completely inflexible, treats you like a number and will make you pull your hair out then use a national bank.

I've found that they are usually pretty inflexible on price when it first hits the MLS, unless they're aware that the house is in terrible condition, although sometimes they will deliberately price it low to try to start a bidding war among owner-occupants, as Jason mentioned.

Putting a single number on a property is a little flawed in itself when you factor in flexible/stubborn sellers, adequate/inadequate marketing, etc. but a single number is required by most lenders.

I want to invest in flex space but I am located in NY where prices are just outrageous.

If the lender is inflexible, it's not. 

And there could be people out there capable of paying the rent and respecting the property with a slightly lower income or perhaps their credit was dinged by single medical bill or student loan.So I would second Doug's idea of building in flexibility, if possible, in judging the overall applicant.

You must use a qualified intermediary and you'll need to get good information from them because it is very specific and inflexible.

Everything has been redone "Inside and out" I am concerned that this could cover up issues with the property and make the seller inflexible with price.I have asked for pro forma number and tenant profile to see what they are claiming and who I could be inheriting.

This can more advantageous when there is slightly larger group and for example, lets say one of them doesn't want to or is unable to partner on a deal that comes up.If you two just go directly for a multi-member LLC, it doesn't mean you are "inflexible" by comparison. 

Also, at that point you should consider hiring someone on who will be tougher than you.If you have 1-2 or 10-20 (my category) units, it gets a little more complicated, but my personal view is that being 100% inflexible and hard-hearted will make the job less fun and satisfying, and can also be a bad business practice.