I like the long fingered but lightweight Dakines. They are brown, MTB gloves with little to no padding, I use them on my fix gear for mountain climbs to protect my fingers from the undersides of the brake levers. (Seeing my middle finger chafed through the skin with 5 miles to go isn't fun.)
I can't say I know if they have enough grip for bare bars; I've used them primarily with cloth tape.
With your lever, couldn't you start the tape aga1n above the lever, just leaving the bar bare for about two inches?
Don't sweat the other posters. Imagination and the idea there might be good reasons for following a different path isn't their strong suit.
Ben