That is the plan I used to build our racks. You will like it.
The different tubs that you are using are much larger, where did you purchase them?
Make sure you measure and order the mesh wide enough to cover the rack shelf.
I used the tubs from Home Depot instead of the MacCourt from Lowe's, those tubs are much better quality. I will try to look to see what brand/size they are today. They might be the same tubs you are using, I just can't remember.
I layed out the tubs on some 2 x 2 rails and set the runners in place then measured across the whole layout in order to get my shelf frame width.
The mesh is easy to install. We just rolled out the mesh over each completed frame and cut it to size with snips. We hand stapled it to the frame with some heavy galvanized staples.
The wood will usually come in 8' lengths, so don't get too concerned about being short of material. This type of lumber is reletively inexpensive, so if you do make a mistake it won't be a huge loss.
As you can see we also made some liberal changes to the plan.

One thing we did to make it easier to use was to cut small ramps on the front of each runner. This makes it easier to slide the tubs in and out. You could do this on your 2 x 2 runners.