Analyze My Play: Hand I

[rpm2nite]

I've just started playing no-limit cash games (4 sessions), player hold'em 5+ yrs, limit for cash and no-lim tourneys.

Game is 200 max buy in, I'm there about 2 hours and triple up to ~600 dollars. Lady on my right plays weak tight, I've never seen her raise w/out pair pre-flop. I've played against her in the past in limit.

We are in mid position, blinds are 1 and 2, she makes it 15 dollars (she has me covered ~800 dollars), I look down and find 9-9, I decide my play is to raise to 30 to see where i'm at but I'm about 70% sure I'm behind, I wanted to play this hand heads up and get out the junk.

All fold back to her, she just calls... I still put here on a big hand (AA, KK) most likely, flop is 962 w/two diamonds. I'm 95% sure she is not the draw and I've just flopped the nuts, she leads out with $100, I do some acting and decide my best play is to raise just $100 and hope she bites. Bingo, she quickly says she's all in, I call with my remaining stack ~350. She show pocket aces, just what I thought. Then it comes runner runner diamonds and she busts me.

I think I played it right, I believe I want the call w/the nuts knowing she is drawing to likely 2 outs, Did I play this right???

Thanks,
Rich