Instead of a tray, just use a plastic container like the ones that can be used for refrigerating leftover food products.
Here is a photo to give you an idea, but these are fancier than you need.
I can go to the bulk food section of my local grocery store and buy suitable ones, with lids, for 25 cents each. I've also got inexpensive 1 liter size graduated measures that work well.
I just let a stream of the wash water flow down into the centre of the reels and then overflow out over the top
In some of its materials, Kodak recommends a minimum flow rate sufficient to change the water at least once every five minutes - that is quite slow.