Mackenzie NX1 10' #5wt would fit the bill, super rod but not overly fast in action - buttery smooth would be my description.
It is over the budget but you could ask Scott if he has any ex-demo available - they're pretty new and he might not, but it
is worth asking
A secondhand Orvis Helios (the original) 10' #4 wt would be my next suggestion. I have one and it's a great rod..... fastish action and closer to a #5wt than a #4...
Curve ball - - Greys GR70 which is under budget. Not a bad rod at all for the money, not the best but by some way not the worst 10' rod I've picked up.
H