have shopping cart only appear on one page

Site URL: https://www.balletsv.com/

Is there a way I can get the shopping cart to only appear on the shopping page of my site? I'm using the Version 7.0– Brine family (Mojave template), and the only options I have in the editor are to relocate the cart icon to 6 different locations within the header, all of which look very bad with how the homepage is set up.

Ideally, the cart would only need to be on the shopping page and not the global header. I can't hide it entirely because I don't want settings to be express check-out.

I had the shop disabled for the time being, since our site is live and I didn't want to confuse anyone who was visiting it right now. I've re-enabled the shop and the cart icon as well, so you should be able to see it now. I've set the cart to sit in the bottom right of the header, because everywhere else it either butts up against something awkwardly or completely messes up the arrangement of the elements. On the homepage as is though, this option has it strangely bleeding into the photo on top. Frankly, none of the built in cart options look good with the way the site is designed right now.

I figured having the cart only visible on the shop page would be the easiest fix, especially considering the shop is really just an extra feature on our page to buy studio merch, and not at all the focus of the website. Personally, I think it might be more confusing to have it on every page, considering the way to enroll students in our classes/pay tuition is not on the site itself but through a third party system linked on another page. I don't want the cart for our merch store to be confused with enrollment.

At the very least I don't want it to look as messy as it does right now though, haha. My top priority is just making it work visually, but I'm not sure what the best option is here.