BJM - they look like frameless cabinets to me [unsure]
Two tone / contrasting kitchens are all the rage from Euro luxury vendors now. But if it's not to the clients taste - I understand.
I think you under estimate the time required for both tasks. You're going to handle each and every door and drawer to re band. Same as you would if you remove said fronts and replace them with new ones. Thing about Euro constructed cabinetry is lots of stuff is standardized. The hinges will be in exactly the same spot on all the doors. You only need spot check to see if former fabricator goofed.
Even if you were OCD, methodical, slow and made a measured drawing of every single front - shouldn't take you more than 4 hours. Most of the cabinetry should be the same layout from room to room, lessening the work. Think you're gong to edgeband, trim, and burnish 50 fronts in the same amount of time ? How much time getting up tho speed and practicing on the edgebander do think you'll need ?
I cannot imagine a scenario in which a newbie can edgeband faster than he can measure and place an order. Oh, I forgot to factor in the time you'll spend removing all that old banding - carefully. Before you guess on cost - why don't you get a couple of quotes for some of your biggest and most numerous doors. I think you'll be real surprised how much less than $10k they'll actually be . And you don't need to drill them, the factory will do that for about $2 a door. A quick check finds me a thermoform door glossy one side costs $55 for an 18x36 door and $19 for a 24" drawerfront ! If you wanted designer/textured laminate both sides with lasered edgeband it'd cost $110 & $50. If you wanted, you could even add in an routed / integrated metal handle for $25 ea. if you were looking for the latest style.
What I'm saying is measuring and ordering will be faster than edgebanding - I've done both. If you're just looking for a reason to justify a new toy - I understand that, but it's not necessarily more efficient. Or cheaper.