Twin home, roaches and deceased neighbors

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Hi all,

I promise I'm not as heartless as this will all sound, but to keep things short I will just state the facts and intentions.

Currently flipping one side of a twin home. Previous roach activity is obvious. Prior owner had professional treatments done, they just couldn't be bothered with the effort required to vacuum the dead ones up afterwards. We were aware of this going in. New kitchen and bath vanities are white. we have cleaned everything and have not seen signs of activity until last night near the front door. 

I assume even though the problem on our side was taken care of, the other sides owner is deceased and has been a roach party of free food and open fornication. 

1. I don't know if his home is in probate or if it's just the family doesn't want to deal with it.

2. I have a name of his daughter, (small town, old family) and possible contact info but not sure how to phrase this whole situation to someone dealing with a recent unexpected passing. 

2b. I also don't want to spend money on continued professional treatments just to have them infest from next door repeatedly. 

3. 2018 home was purchased for 150k, 6% increase every year. Would offering $100k to  take what they wanted out, walk away and let me deal with it be a lowball offer? Obviously not throwing that out there right away. At the same time, the higher their house sells for, the higher I can sell mine for in two years.

4. Is there any obligation from whoever is responsible for this home to address the issue? If nuisance weeds are a problem on a neighbors lawn, the city will take care of it and charge the owner. Is there any regulation for an actual health concern?

There's opportunities to be had here, just finding the correct solution is making it interesting. 

Any information is greatly appreciated!