I buy the peppermint oil and pour drops in cotton ball to place in every room.

I am less concerned about the dog than I am tenants trying to pull the wool over my eyes.

There are versions of fire retardant treated wet-packed cellulose and/or rock wool that can be blown into the joist bays ... check for acceptability / availability in your area.If your basement ceiling is not properly fire rated, it should probably be redone and that would be your opportunity to sound proof the assembly as well.

I love these type projects but I follow the " why eat lamb today when you can sell wool for years" idea and keep them for rentals.Again, GREAT JOB

I try to limit where I can, but I’m also not going to spend $10/sq ft for organic wool carpeting.

Both closed-cell spray foam (~R6 per inch)  and dense packed cellulose/mineral wool (~R4 per inch) have their place.In brick buildings (where it is safe to insulate the structural brick walls) and older buildings where we either have enough wall cavity to achieve our desired insulation value; are gutting the interior and have the option to deepen the wall cavities; or are restricted from altering the exterior of the building (i.e. heritage), I prefer to used closed-cell foam as it provides both your insulation and air sealing in a single step.  

@Kelcy Smith and @Kumar Appa  Please NEVER try to pull the wool over the eyes of anybody, especially those having to do with environmental issues.If 20 years from now, contamination is discovered and town records show an old, buried tank that was surreptitiously  removed, they will most likely come after you with fangs bared.Do it by the book, or don't do it at all.  

That looks like mineral wool to me.If it looked like Zonolite we would be having a VERY unpleasant discussion right now.

It turns out that when the property was originally parceled off from the old cotton farm it used to be, the old cotton farmer was as sly as a fox and put a Right of First Refusal on future sales in the deed.

I treated all walls halfway up with a crystalline concrete waterproofing solution, sealed up cracks and holes with hydraulic cement, and decided on metal studs throughout the unit with rock wool insulation in walls and ceiling to resist moisture and insects.