Hi Auntm, I spoke with our Lingerie Assistant Buyer and she recommended a few styles as good alternatives to the Natori '7233495' Memory Underwire.
Probably the best choice for you is our Chantelle Intimates 'Pure' Memory Foam T-Shirt Bra. It has a similar cup (both have memory foam that will mold to your body with wear) but the Chantelle has convertible straps so you can control how the straps sit on your shoulders more by adjusting them to a racerback style when wearing with sleeveless tops.
Our second recommendation for you is the Natori Jacquard Underwire Bra. The straps are thinner than the Natori '7233495', with soft, molded cups and a pretty, flat jacquard detail. It will still be invisible under tees but will have a little less coverage than the Natori '7233495'.
The Chantelle Intimates 'Rive Gauche 3286' Full Coverage Underwire T-Shirt Bra is also a good alternative. It also has thinner straps that are set in more but still has a similar amount of coverage to the Natori '7233495'.
The last suggestion for you is our Wacoal 'Embrace Lace - 853191' Underwire Molded Cup Bra. Unfortunately I can only link 3 products into our "Products from my answer" section below but if you type in "332937" into our search field it will show up. This is also a full coverage option that may work well for you, the cup feels very soft and is a good everyday bra. Here is the link to it as well. --> http://shop.nordstrom.com/s/wacoal-embrace-lace-853191-underwire-molded-cup-bra/3142207?origin=stylenumsearch
I hope all of this information helps, if you have any other questions I'd be happy to help here or you can call our Customer Service team at 1-888-282-6060. Thanks!