Polymorphism in number of chromosomes?
Good questions, but you make a claim that isn't necessarily true: 


  However, all of these are diploid and variation always needs to be expressed 
  as a chromosome number of the form $2n$ because of meiosis. The karyotype of a 
  human with trisomy 21 cannot be expressed in that form as this person has 
  $2n+1$ chromosomes.


The emphasized text isn't necessarily true - there are certainly more involved ways to describe the karyotype of a given individual or cell line. For instance, take the GM12878 cell line, likely the most well-defined cell line in terms of genetics, epigenetics, and chromatin biology today. It's karyotype is listed as:


  46,XX[23].arr[hg19] 9p13.1(38,787,480-40,911,212)x3


This is a fairly common way of representing changes known as copy number variation, wherein only a small region of a given chromosome is duplicated or deleted. For this cell line, which relatively closely mimics lymphoblastic B cells, the genome is nearly normal (46 chromosomes, XX) with only a small amplification on chromosome 9 (9p13.1(38,787,480-40,911,212)x3). This is a mild example, but smaller copy number variations like this are quite common and can amplify or delete both large chunks or very focal regions of genomes.

But to answer your first question, no, there are no known non-deleterious trisomies in autosomes. Trisomy 13 (Patau's syndrome) and trisomy 18 (Edward's syndrome) children can live to birth, but die within the first few months of life. Unsurprisingly, these chromosomes are also the smallest chromosomes with respect to the number of transcripts that they encode 1. This suggests that the additional amount of genetic material determines the severity of the defects, and this trend also holds true in mice. From a figure caption of the cited paper (which is likely behind a paywall for those without institutional access):


  A correlation between degree of aneuploidy and organismal fitness in humans and >mice. (A) The number of known human transcripts/chromosome in humans. Trisomies >below the line develop to birth. Trisomies above the line are embryonic lethal. Only those chromosomes containing the least amount of transcripts survive birth. (B) In mice, survival of the embryo is inversely correlated with the size of the chromosome that is present in three copies. Linear regression analysis fits the data with an R2 of 0.71.


I was unable to find any examples for your second question. Cancer cells can get very messed up in terms of copy number, but I've never seen anything about heritable aneuploidy.