To answer your question: "are there?"... Yes! For YOU I would recommend using a TM4C123GH6.... (even if I've never heard of that processor :-) )
MMC is a way to talk SPI-like to memory cards. SD expands on that with some "secure" stuff that nobody uses. So your SD card is essentially an MMC card. Now when you lose the connector and solder the actual chip to the PCB, it is suddenly called eMMC. But in reality nothing is different from the SD card you were using before.
Modern eMMC memories do expand on MMC and SD a bit: they might offer a wider databus than the single serial channel for the oldfashioned MMC protocol. But if you don't need the speed, you can stick with the single data-bit protocol.