To be clear what I mean by "couple the wall to the floor". The framed wall should have the stud surface aligned with the beam face. Sheathe the wall with 1/2" nominal OSB, and shear nail all edges at 3" o.c. with 12 penny x 1 1/2" ring shank nails. Nail to each stud in the field at 5" o.c. spacing. The OSB needs to be horizontal in 8' sheets at the bottom of the wall, and lap down onto the parallam full width of the beam. Nail the OSB to both top and bottom of beam, 1 1/2" in from the edges, and nail to the bottom wall plate at the 3" spacing. Tight joint all splices on the middle of a stud.
A proper engineered detail of this shear wall construction might take you down a considerable amount in beam size, depending on the code and requirements where you live. Personally, I'd just go with the larger beam, and still shear wall the beam. Usually the cost of the over-design on the beam is cheaper than the engineering, and your engineer may be overly conservative and require both large beam and shear wall anyway.