Dont have a direct answer to the question other than: "none that i'm aware of" if you're in auckland I'd sugest having a look at Greg's shop "go-fish" in northcote and also "Oscarma fishing international" on Dominion road in balmoral, as those are the only 2 places i know of that stock any sort of range of such rods.
Around 12 months ago i was looking for something to flick softplastics, hardbodies, small jigs, light/small poppers & stickbaits from the shore with, it's a big ask to do all of those things with one rod, needed a wide cast weight rating, eventualy settled with getting a daiwa shore jigger SJ96m from japan, 9'6", 2pce, pe 1-2, cast weight 10-60g, fuji k-series guides, parabolic action, it's a bit more expensive that what you're after, the other cheaper option i was close to getting was a daiwa lateo pirates out of australia 10', 2pce, 10-50g, k-guides, parabolic action, mind you that's also over the $150 budget, are you definately constained to that amount or could you wait a few weeks, save up and open up your options a bit?
I really wanted something with k-series (or similar design) guides because when casting light lures with braid as far as you can over and over, wind-knots get old very quickly, especially if they send a $25-30 lure into the sea un-attached (fg knots sudenly seem like less of a hassle when that happens aswell). I prefer the parabolic action of a shore-jigging rod for fishing softies and hardbodies land-bassed compared to a fast taper, a good quality carbon rod with a parabolic action can still cast well and has the advantage of being much more forgiving on the hook-set when fishing short-range with braid, i had been playing with an 8' fast-taper rod before and lost fish when they would surge off and the action of the rod comes up tight, especially with lures/trebbles.
keen to hear what you settle on, how you find it, and how the fishing goes for ya, i reckon fishing artificials from the shore outside of ky spinning and kingfish top-water is under-explored and under-done in this country for now, need more people out-there giving it a go to develop the tackle and techniques.