I have tried this on multiple occasions for multiple items to be shipped, I wound up using local shippers vs the online shippers because they were horrifically overpriced in my opinion - $2900 + toll fees of up to 500$$ or $4100 all inclusive for hauling a skid steer from boston to kc was my last attempt - are you kidding me? that turns out to be 2.34 up to 2.93 per mile and I know they were going to be hauling more stuff on that trailer making $$ off another schmuck like me.
I drove out there and back myself, paid for 3 hotel rooms, meals, fuel, tolls and cost me less than 1200 and got to see Niagara Falls to boot my wife and I loved it!!
645 for fuel, 115 in tolls, 255 in hotels, 175 in food = .414 per mile
Id do it again in a heartbeat for 4100 bucks!!!
I was like you said bombarded by companies trying to give me quotes, and I said if you cant do it for 2500 forget it, closest anyone got was the 2900 plus tolls.
They had a name your price feature and I did that as well, no one ever called to match it just to tell me they couldn't - once you give them your phone number be prepared you will get slammed with callers.
not saying all shipping quote companies are all like that but the two I contacted must have several companies that they work with and it was lack luster experience in my opinion.
recently I had a 5088 IH moved that had duals so required wide load AG carrier due to weight also - got it hauled on an 18wheeler - they came, loaded it, hauled it for 3.6/mile for 125 miles - Dad calls and says hey some guy is here with a big tractor - I said hmm well I guess tell mom to get the keys for it when he unloads it so you can drive it around, its yours!!! He said oh my I better let you talk to mom ;-) they unloaded it and handed the keys to my 80 y/o mom while my dad watched as it was a surprise to him!!!
since it was only 125 miles and required wide load and an 18 wheeler that is much more understandable - but still a little ouch - id love to haul these tractors around the country for the money they get for hauling this stuff - I could make a great living doing it - my wife and I could travel and see all the states when we retire and get paid to do it LOL!!! I would rather haul the smaller stuff I don't want an 18 wheeler.
Maybe that will be my next adventure