Tony has it right, but alot will depend on the amount of wind you will be sailing in the most oten.
If < 10 knots, then the Rio for sure.
What is your weight.... what will determine which size Rio (S/M/L) will be the best.
The Carve 171 would be OK, if you have > 12 knots but < 18 knots most of the time.
You would be somwhat frustrated right at first with no centerboard, but after a short learning
curve, you should be able to master staying upwind on a board with no center fin/center board/
Hope this helps,