You can load it into R/qtl with positions in basepairs, and it will give a warning, but there shouldn't be an error that will prevent you from working with the data.
You can then use the function rescalemap() to rescale the positions from basepairs to Mbp, or to rescale them to estimated cM.
Scaling 273 kbp per cM means scaling 1 Mbp to (1/0.273) cM
mycross_Mbp <- rescalemap(mycross_bp, scale=1e-6)
mycross_cM <- rescalemap(mycross_Mbp, scale=1/0.273)
karl