I don't think plugging the Furman into another PC (even if higher quality) would reap much benefit. The best way to upgrade the power delivery is to convert the Elite 15 to an IEC input so it could use a detachable power cord. There is a member here who's done this.
My advice is to upgrade all component PC's and use the Furman as is. As your system grows, you may want to upgrade your conditioner, or use separate conditioners for analogue and digital.
My advice is to upgrade all component PC's and use the Furman as is. As your system grows, you may want to upgrade your conditioner, or use separate conditioners for analogue and digital.