I would recommend going to the Sheriff's Office (or whoever puts on the auction in your area) and asking them exactly how it is done (ask all the questions you can think of and be sure you really understand the procedure).

I am not sure why I would have to go through an eviction procedure if he would move someone in.

See the Civil Rules of Procedure in Justice Court regarding evictions.

Is there a different procedure, different loan type?

The only collections you might choose to ignore are for medical procedures and maybe student loans.

The house needs a number of things done in order to make me happy and many of them cannot be done with a tenant living there.Is the eviction procedure the same for "I just want you out" as it is for "you haven't paid the rent"?

However, there is a set of rules/procedures/guidelines that you need to follow to be compliant with the new laws (SAFE Act & Dodd-Frank).

- If I decide to go the route of the quiet title procedure, how long does it take?

The lender will take the worse case scenario the tenant is using for language in the contract on giving loan and terms to minimize their risk.The lease usually has a procedure in place for when the option comes available with how much rent will increase and for what amount of time 1 year,5 years etc.

When it comes time for you to sell it, since no disclosure is required the suicide won't lower your asking price.Once you get it under contract, make sure you confirm proper procedure was followed following the suicide (she will have documentation if this is the case).