Formulas for separate hardeners are out there. They are generally designed as a pre-treatment for film that is about to be subjected to some abuse, but they might work with paper.
Kodak SH-1 formalin hardener
For use on negatives that would be softened by subsequent chemical treatment.
Water 500 ml
Formaldehyde (37%) 10 ml
Sodium carbonate (mono) 6 g
WTM 1 l
Harden film for 3 minutes then rinse. Negatives should then be treated in a fresh acid hardening fixer and washed.
Kodak SH-5 Prehardener (for high temperature processing)
Water 900 ml
6-nitrobenzimidazole nitrate (0.5%) 40 ml
Sodium sulfite (anh) 50 g
Sodium carbonate (mono) 12 g
WTM 1 l
Just before use, add
Formaldehyde (37%) 5 ml
Soak film in prehardener for 10 minutes with moderate agitation. Drain for a few seconds, and rinse. Allows development up to 35C.
Kodak SH-6a hardener
Water 1 l
Calgon 750 ml
Sodium carbonate (mono) 8.8 g
Foraldehyde (37%) 25.5 ml
TH-5 Hardener
Water 750 ml
Glutaraldehyse (25%) 30 ml
Sodium sulfite 20 g
Sodium metaborate 2 g
WTM 1 l
Mix fresh (keeps less than a week).
Use as a prebath for 2 minutes before development when it is necessary to process at high temperature.
You could fix in a non-hardening fixer, tone, and then fix again in a hardening fixer. That assumes that the hardener or fixer would not harm the toned print, which it might.
In general, prints do not need hardening, either with the fix or later. Your best bet is probably to use a non-hardening fixer like TF-4 of F-34, wash, tone, and then just not abuse the surface of the print.