Crack The Cryptic 139

Only 4 to go and I just can't get them. Any help much appreciated.
6 down: risk in happily picking out private investigator at random. ?a??a?a?d?e
44 across: luggage found after show. C?s?s
60 across: keeps cooking salt on first shelf. L???s
61 down: resolute dates go without food. ??e?d?a?t
TABQ