What you describe is what Deere offers in their reversers. There are two flavors: electronicly controlled eReversers, which let you adjust the rspeed that they reverse at, and mechanical reversers.
eReversers are on the 4310 and 4410.
Reversers are on the 4510, 4610, 4710, 4120, 4320, and, 4520.
(I am not sure on other brands, so don't want to muddy the waters, I am sure there are more choices)
I have friend with a shuttle shift on another brand that does require clutching, and he is on his third clutch. I am afraid that would be the case for me, too. So the no clutch reverser looks like a good option to me.