It is not difficult to roll your own graph of parallel coordinates in ggplot2, which will give you the flexibility to customize the aesthetics. Below is an illustration using the built-in diamonds data frame.
To get parallel coordinates, you need to add an ID column so that you can identify each row of the data frame that we will use as a group aesthetics in ggplot. You also need scale numerical values โโso that they are all on the same vertical scale when we plot them. Then you need to take all the columns that you want along the x axis and change them to โlongโ format. We do it all on the fly below using the tidyverse/dplyr pipe operator.
Even after limiting the number of combinations of categories of lines, the lines are probably too intertwined for this graph to be easily interpreted, so consider this simply โproof of conceptโ. Hope you can create something more useful with your data. I used colour (for strings) and fill (for dots) aesthetics below. Instead, you can use shape or linetype , depending on your needs.
library(tidyverse) theme_set(theme_classic()) # Get 20 random rows from the diamonds data frame after limiting # to two levels each of cut and color set.seed(2) ds = diamonds %>% filter(color %in% c("D","J"), cut %in% c("Good", "Premium")) %>% sample_n(20) ggplot(ds %>% mutate(ID = 1:n()) %>% # Add ID for each row mutate_if(is.numeric, scale) %>% # Scale numeric columns gather(key, value, c(1,5:10)), # Reshape to "long" format aes(key, value, group=ID, colour=color, fill=cut)) + geom_line() + geom_point(size=2, shape=21, colour="grey50") + scale_fill_manual(values=c("black","white"))

I had not used ggparcoords , but the only option that seemed simple (at least from my first attempt with a function) was to insert two data columns. The following is an example. Even with four combinations of categories, the plot is confusing, but perhaps it will be interpreted if there are strong templates in your data:
library(GGally) ds$group = with(ds, paste(cut, color, sep="-")) ggparcoord(ds, columns=c(1, 5:10), groupColumn=11) + theme(panel.grid.major.x=element_line(colour="grey70"))
