Hi CGM,
Having owned a 5:50 1x12 since they were first released, my feeling is that it would balance out your LSS nicely. I A/B'd the 5:50 and the LSC before I bought the 5:50, and I also played with another guitarist who used a LSC in our group, and the two amps were neck-and-neck when it came to a band situation. The clean headroom on the 5:50 is considerable, and if you are playing in environments where the amp will be miked, you won't max it out, for sure.
Of course, it all comes down to tone and the 5:50 has it. The Clean channel is lovely. I play mostly clean, so that was my primary concern when shopping. I will offer that, in my opinion, the LSC cleans are a touch nicer (but to me, the 5:50 cleans have a bit more character, which is a positive). The Crunch mode there offers some nice flexibility. The Blues/Burn Channel is great (I use Blues mode), and with the contour controls and the 5 watt option, you have plenty of choices to tailor the sound. The amp is also small and (relatively) light and for me those were important considerations. I wanted a grab-and-go combo that could compete in a band setting, and the 5:50 delivers superbly. Finally, it takes pedals very well; and the FX loop is transparent and effective. I definitely recommend you try one out, and bring your LSS to road test them together. Let us know which amp you choose?
All the best,
Richt