Take the first offer.
It may take a couple of months longer but see it as valuable experience and expanding YOUR skills.
Try and fill as many columns in your logbook as you can.
I've never understood why CFII's hesitate to take their Instrument students up at night. For one thing they can't cheat as much and it's better in your logbook.
Don't screw over your student, NEVER screw your student but it's good for them and good for you.
The ATP XC requirements are the only ones that do not require a landing so if the IAF waypoint is 50+ miles from your home airport you can log that as XC.

Stay safe out there, flight instruction is dangerous.