rod tip question

indian Joe asks--rainy cold morning here [46 degrees] so spend ing my time
thinking about buying a new rod. Want to fish N.C. small streams with a
4wt.-7 1/2 ft 3 piece for tossing medium size drys [ #12 foam yellow
humpy that i can see]

I will have about 7 ft of line out- 7 ft of leader and 2 ft of
tippett--making side arm cast across a pool to a spot just behind a log
hanging
in water.
Do i want a light fast tip or a stiff slow tip to load my rod for best
cast?

Any suggestions for rod costing under $239 will be helpful--my squaw just
spent that for a tennis racquet probably made in china for nine

dollars.