This seems not too, too strange, other than being VERY time aggressive.
except for these three conditions:
I cross qualify with their preferred lender
I lease it to them for 60 days at my PITI.
Seller choice of services (which I'm told means they choose the title and escrow company?)
You are pre-qualified and will put 3% down in short order. That should cover any concerns they have about cross qualifying and choice of services. Also, if they choose the services, then you should not be on the hook for delayed close..
Do not lease it to them for 60 days. They carry it until they are out. suggest a closing date that matches their 60 days. This is worth upping your price a bit for, to help them cover their own mortgage for this time. The only exception is if you intend to be a landlord anyway, and are giving them a yearly (or at least month to month) lease.
All of their other items are just about money. I would expect a stinking hot deal to comply with the other terms, including speed of closing, etc. This deal needs to cover the fact that you are giving a clean offer without a home inspection, which is worth a LOT more than just $40k off the asking price. Maybe a clause from you about $50k to remain in escrow for 1 year, to cover any home expenses over $5k that need to be done due to unseen repairs / furnance/ plumbing / leak / structural / safety or hidden issues?
Also, with the speed of signing - you would need to include a few clauses, such as they are responsible for making home available to inspector without any advance notice, at any hour, and are responsible for any delays caused by ...?