LVL Support Question
I am not quite sure I follow your thread. You are planning to use double 2x10 under the beam. I assume the beam you are referring to is the new LVL. I presume you are planning to use the 2x10 in the vertical orientation as posts, although this is not clear.
I did a similar project, replacing a load bearing wall that spanned about 11'6" between my kitchen and dining room with a steel beam. I have a two story house with attic, so the vertical load on the beam was substantial. By computation, I determined that a pair of tripled 2x4 studs acting as columns on either side of the steel beam were adequate to carry the load down to the main beam in the basement. I also computed that the additional moment on the main beam would not affect the structural capacity of the main beam, so no additional lally column was required.
Each case is of course unique, and typically you need to perform computations to determine the size of the columns required, and whether a new support is necessary for your main beam in the basement. It may be worth hiring an engineer to actually do the calculations, since the cost in time and money of installing a new footing and a new lally column may exceed the cost to hire a professional to look at the overall project.