For TBC to TBC always use VCL format files - in Export - Construction - it is at the bottom of the list - That lets you select any type of TBC data and export it with full "richness" i.e. for a HAL it will export the HAL, VAL, Super and Station Equations etc. VCL is actually the same as a VCE File but with Survey and Coordinate System Information stripped out
Outputting data to 3rd party software then depending on the software / region you are working in will dictate the right method - LandXML is pretty common worldwide, 12D in Australia, GENIO in UK, REB in Germany etc. All support alignments (but not all functions of the alignment (like Superelevation)
Hope this helps
Alan