You're fine. There are a ton of reasons MIT and UMass Amherst would help, but they are not for everybody, and I saw plenty of folks struggle at MIT and gain nothing out of it (even not graduating).

What matters a lot more than the name of the institution on your degree is experience; getting that experience may be a bit tougher at a small school (you don't have FAANGs or huge biotech firms recruiting there), but it is certainly not impossible.

Three of the last four engineers I hired had no formal CS degree (but they had gone to bootcamps).