Hello @oakwoodmedia,
For Elementor specifically, I recommend approaching that community and support for advice.
In core WooCommerce this can be done with CSS. It may be theme dependent and can be tricky to get just right, but here is a simple way to line up the title and product while removing the Add to Cart button like in your example:
.woocommerce-loop-product__title {
float:left;
}
.woocommerce-loop-product__title + .price {
float: right;
}
.woocommerce-LoopProduct-link + .add_to_cart_button {
display: none;
}
The result is something like this:

Link to image: https://d.pr/i/AUeWbp
This CSS is just an example, and works in Storefront and plain WooCommerce. You can add it to your Customizer to see if you can adjust it to work for your site – if not, I think approaching Elementor is the best next step for you.
Beyond the CSS approach, you can also investigate updating the loop product template, but that is a pretty advanced development topic requiring PHP.
I hope that helps, and if you have any further questions please let us know with a reply. Have a great day!