Two things spring immediately to mind:
1.) SRBs tend to shake the hell out of the rest of the vehicle, and as the end of their burn approaches, the combustion is really rough. The “ARES” rocket, or ‘Tuna-Can Express’ was a great big solid rocket, and it shook the payload in tests so bad it was considered inoperable. Also, you can’t throttle them back. Once they’re lit, they’re lit. Hold on to your hat. SRBs bad, unless you’re really desperate. And you have Congresscritters to satisfy.
2.) Liquid fueled boosters with cross-feeding would be far better, as they can be throttled, and don’t have that tremendous shake going on. Two liquid boosters, feeding a central main booster would do quite nicely.
SRBs bad, unless youre really desperate.
It seems the technology has its place, but perhaps more fitting for missles rather than reaching past the atmosphere.