Hello Aqazi81,
Given your contsrains I make to you the following suggestions to request for your ink supplier:
1. Pigments - Alkali Blue-PB61 (reflex) and Methyl Violet-PV3 (pantone violet) both impart poor rub characteristics into the ink. Alkali is one of the worst. Sub the alkali blue for a carbazole violet-PV23 and pthalo blue-PB15:3 mixture. Caveat, this is a much weaker color strength of ink. THe methyl violet substitution is easy using carbazole violet.
2. Vehicle System - I recommend a good slug of chinawood(tung nut) varnish and a low VOC resin system. The chinawood varnish will impart a durable hard film while the low VOCs will allow more system to bind the pigment and polymerize.
3. Waxes - double up with a good polyethylene and PTFE(teflon) wax system. 5% and 2% in compound form or 2.5% and 1% in dry.
This type of system may be slower setting than you are used to, however, once cured should show good to great rubresistance on a decent carton stock.
Caveat, if the carton stock has a soft coating, you may have more of an issue than you can fix with ink.