Hello; That is about as good a place as you can get on a wood floor with joists. That may reduce the number extra supports needed.Will be on the corner of 2 outside walls
That narrow crawl space and the heating ducts will make the job hard.
I would try to "box" and/or "sister" the joists where it my floor, but the heating duct may get in the way.
Again if those last two terms are not familiar to you, get a professional. This is not the sort of DIY project to start with.


