I have no particular brake to recommend. But I would recommend taking some actual and accurate measurements of the height of your brake posts from the axles, and then calculating where the slot on a brake arm will have to be to put the pad on the brake track of a 622 rim. Then you can measure prospective choices and see if they will work.
Protip: Take into account the diameter of the brake pad mounting post, don't just measure to the bottom of the slot. Millimeters might matter a lot in this situation.
Shimano used to post information about the parameters of brake post height and width that would work with their brakes. Not sure if they still do but that might give you a start.