And there are times where I have to offer lower than someone else because the deal might seem riskier to me than to someone else. 

No chance in heck I'd give them free rent... it's a good idea to offer to allow them out of it if they complain about wanting free rent due to the circumstances.

In order to get the terms I want, would it make sense to offer a premium on the purchase price ($3.1 million instead of the $3 million FMV)? 

I do like what some things like the Coverdale have to offer but I found with my youngest son, my original point was what worked best for me.

So much to offer.

Any good ways to offer them to pay rent remotely?  

The big banks seem to offer lower fixed interest rates, the small bank seems to be ~1 percent apr higher and is only fixed for 5 years. 

It is always a gamble when spending money.but like the movie Field of Dreams said over and overIf you build it they will come.I believe that there are people who although don't make muchand cannot afford the extras would love to have the extras and take care of the privilege.What I have found is that if you price too low you get people who are too slick for their own good.It is my model to offer the upgrades for the same price as my competition.not lower but the same.So the value is built in upon lease signing.

I think you need to offer them, but they might not need to be stainless.  

I used to say something like "That's not mine, but if you'd like to offer on something of mine, here is a list of what I have", etc.