Unreasonable to ask that parents' dog be shipped to my place instead of staying in kennel while they're on vacation?

Yes. Shipping is very expensive, time consuming, and hard on the dog. It would be cheaper and easier for you to go there, however, if you can't then a kennel is a fine option. If it's only a 90 minute flight then the drive can't be that bad. Drive over to your parents house, pick the dog up and drive back.

The flight and all that goes with it will be far more stressful than the kennels. I don't blame your parents saying no to this. The trauma in crating a dog and being onboard for way over the 90 minutes of the actual flight just isn't worth it.

If your mom feels better with a kennel and the dog doesn't mind it, why do you want the dog to stay with you. At your place, you said you work all day so it would be alone. A kennel would provide more play time and attention.

Mom is right.

airline travel has some risks.. mom may not want to take those risks.

You are at work most of the time.. at the kennels they have staff to take care of the dogs.

Airline travel may be stressful to the dog

meanwhile, she loves the kennels, has been there before and knows the place.

Mom doesnt need to give you a reason.. Its HER dog, and HER money, she can do as she pleases.

Yes

Its their dog and if they dont want to put the dog through the stress of being crammed into a crate, shipped on a plane and subject to stress that isn't needed then you need to leave off.

your mom doesn't have to give you any reason why she doesn't want to subject the dog to all that stress. Its her dog. Not yours. You ahve zero rights to it and you have no right to demand or whine she put the dog through so much unneeded stress

The dog will be better off being boarded.

She doesn't mind the kennel; I've picked her up and dropped her off there

A flight would be more stressful than the kennel.

yes

Her dog, her rules.