You could invest in a med-sized dog crate/carrier and let her spend some time in there (when there isn't anybody to keep and eye on her) with the litterbox & water. My cat goes through moods like this where she'll pee on anything that suits her (towels on the floor, the little floor mat by the sink, etc), usually it's after I've forgotten to feed her or if there's some other thing going on around the house (stresses her out). When she gets like that, I usually just lock her up in the bathroom (or somewhere she can't do very much damage) with the litter box, food, and water, and wait it out for a few days. You could try that, just put her in the bathroom with the litterbox (at night, or when you're out for the day). That might work in the new house, too, until she gets used to the litterbox & all the new stuff. One last thing, try different cat litter brands. Sometimes they don't like the way a certain litter smells, or feels, or whatever. If you only use a little bit (to test it out) and decide you don't like it, you might even be able to contact the company (look for a 1-800 number on the bag) for your money back--or coupons for samples of other types. We had to do this with food for our very picky and digestively-sensitive cat!
Good luck!