I shipped a wheelset from new Hampshire to Niagara Falls a week ago for $25 using BikeFlights. Seller removed the QRs and taped them on box as it made the wheels narrower and QRs might poke through side of box.
Was willing to ship a groupset with wheels from Atlanta to Niagara Falls and quote was $67. That was high but I expect that was due to total weight and fact that previous owner didn't know how to remove a cassette which I didn't need and was simply extra weight.
I just recalculated your numbers using a box that was 27 x 6 x 29 and weighing a more realistic 5 pounds for carbon rims (and packing) and from Phoenix to Niagara Falls, NY and I got $31.95. True you'd have to cut the box down but I start with a TV box and it takes about 10 minutes to cut one down, wrap and pack the rims and seal up. I wrap the rims in foam and stick a piece of cardboard between them. Thinner box and they don't rattle. One-Way 1 Box/Case
BOX/CASE #1 - CUSTOM
SHIP YOUR BIKE
In / Lbs
Ship From
PHOENIX, AZ 85021, US
Ship To
Niagara Falls, NY 14301, CA
Length Width Height Weight
27 in 6 in 29 in 5 lbs
Contents
Bicycle Wheel(s)
Market Value
$ 199 USD
Premium Protection
$200 Coverage (+$0) Normal Handling - No Signature Required
Purpose
Buy/Sell/Gift
Shipping
$35.95
Protection ($200)
$0.00
Subtotal (USD)
$35.95
Ship bikes was $32.88 with same dimensions