Renting is a good idea. Home buying should never be rushed, plus you don't know how your finances are going to look once all is said and done with the divorce. Also, you can get much better deals on a house if you aren't under time pressure to buy; take your time.
I lived with my mom for 2 years while going through my divorce. It was during the real estate crash and since I'm self-employed, the lenders all wanted to see a year's worth of alimony checks to qualify me.
It worked out well, because I had a lot of time to look at houses and think about what I needed, and when I finally found the house I wanted, I was able to make a non-contingent offer, I was pre-qualified, and I could be totally flexible about closing time. I got a good deal that meets all of my needs and I still love it.