Save Brave Search settings in a URL?

Description of the issue:

Because I am privacy conscious, every time I close any browser I’m using I clear all history, cache, cookies, etc., and I close every time I am finished with a browsing session. Obviously this clears my Brave Search settings. With other search engines I am able to save the settings in a URL that I use instead of search.brave.com.

Is this possible? If not, is it planned? It is a big deal for me because I do a lot of searching.

My apologies if I have missed something obvious.

Brave Version (check About Brave):

Using all browsers…

Operating System:

…on all platforms.