Assuming the Jones bars are standard 22.2 flat bar diameter then any flat bar calliper lever will be fine with those brakes, you just have to be careful to avoid V brake levers as they have a different cable pull (The equivalent TRP brake for those is the otherwise identical Spyke) I've used the cheapest Shimano levers, BL-R550, and they're fine, usually to be found for around £20, though things ain't usual at the moment...
There's also some brake levers that can be switched between V brake and road pull, but I haven't used any. I did try an Avid Speed lever where you can dial in the cable pull, along with road BB7 brakes, but it wasn't ideal.
I don't know of any levers that come rubber coated, but I like these on one bike and may get some for another (They're available form several UK retailers and Ebay)
https://miles-wide.com/product/sticky-fingers-brake-grips/