I think you should send her. I would probably tell her even before the first day that it's only temporary and that you'll be moving, etc. I would also tell the teacher. Honestly, if you're not sure when you're moving and you think it's going to be at least 4-5 weeks, I mean that's a long time! Most of her friends will be in school so you can't really set up play dates, etc. and if you're going to be getting ready to move, you don't really have the time to teach her a curriculum either.
I see it as win-win honestly. She gets to go and learn and be social and you get to have a little bit of time to organize. Yes it will be hard for her to leave and say goodbye to her friends, but she'll also be more school ready for when you move and she starts school there.