I have heard of some tenants supplying a fridge, which is pretty rare in Columbus, but for a tenant to supply a stove is very uncommon.

It isn't uncommon for someone to request ability to pay especially on listed properties.

Additionally, it is not uncommon for the lender to also require a lockbox account, so that they can immediately take over control if you default on loan, but this too will be stipulated as you are working on the loan.  

It is not uncommon for certain areas to have a combination of zoning districts, but the city provides a list of permitted uses as well as special uses.  

Is it uncommon as an investor to bid an unreasonably low amount?

This is not an uncommon issue so it should not a deal-breaker.

Regarding your first question, whenever we work with clients in our market (So Cal) we always compare the current rents to market rents using rentometer, so its not uncommon for us to try and get a building into contract for a client that is breakeven, or even negatively cash flowing.

I don't believe banks like lending on these just yet since they are so uncommon.

People say just find a partner like these people are knocking on doors asking if anyone wants to take their money for investments but they seem very uncommon in the grand scheme of things.

Longer timelines are not uncommon with banks that don't specialize in mortgages or refi's.