Solid core copper sounds best compared to stranded in my experience. The Neotech line of UPOCC is sold at Sonic Craft. Jeff the owner of Sonic Craft is expert on speaker crossovers and internal wiring and also praises the Neotech line of solid core bulk cable. Here is a link.
You should twist the positive and negative runs from the binding posts and drivers to the crossover board to help reduce noise. This is especially true if the runs are longer as in tower speakers.
Stranded Neotech wire is a tad easier to work with being less stiff, but it is not as focused and pure sounding. I like using solid core wire internally as it easily bends in place and stays put! This is important. If you have some skills and experience using 12 gauge on the woofer is ideal. If really not that experienced, then 14 gauge is a bit easier to solder and work with.
You can email Jeff at Sonic Craft with your project questions as he is very knowledgeable and will help.