How to bind a key to just another key in fish

I am trying to bind the key sequence control-h (\ch in fish) to the right arrow key. I know how to bind it to backward-char with bind the normal way, but that poses an issue in my config, since I have \b bound to backward-kill-word, such that fish interprets my control-h as a \b since the control key is held down and deletes the word.

bind \cl forward-charbind \ch backward-charbind \ck history-search-backwardbind \cj history-search-forwardbind \b backward-kill-word # this picks up control-h which I don't want

So I am wondering if I can just rebind \ch to do the same thing as the left arrow key, since that doesn't seem to get picked up by \b.