The pre-2015 CR-V appears to be the most popular non-Jeep toad, judging by the number of wiring posts on iRV2
. There must be plenty of people towing CR-Vs behind motorhomes with LED taillights. I suspect many of them do not use a converter on either side of the umbilical between the two vehicles.
Since your question was focused on the Tow-Ready product it's unclear whether this is a new installation or an existing one that no longer works. If it is a new installation, you have several options; several from etrailer are at this link
, including this (almost) "plug and play" one:
2004 Honda CR-V TrailerMate Custom Tail Light Wiring Kit for Towed Vehicles
I'd be inclined to call etrailer and ask them about why there's an LED restriction on the converter (could be as simple as a flasher replacement on the motorhome), and other options for repair/replacement/new.
<edit>I just noticed that one of the Roadmaster wiring options at etrailer
includes the Tow-Ready converter. There's a diagram on that product page. I retract my statement above: "I suspect many of them do not use a converter on either side of the umbilical between the two vehicles." All the more reason to call etrailer, though</edit>