Well if you're going to grind for money to gain stats on EoC in my opinion it'd be better to grind on 07 and then transfer it over. If you're looking for EoC specific methods to make money without combat, I'd recommend bulk merching which while requires time and some start up money can definitely yield the best profits on EoC exluding PVM.
PvM is great, but I'd say it's combat related, as is slayer. Anyways, try farming, hunting, runecrafting etc. You can really combine a little bit of everything together. Make money doing Slayer or something, farm runs in between tasks. Also have offers in the GE for small merchanting while you slay. Be creative
If you were to flip and get into the bulk merching community and you were determined you could make serious money. I was at nearly 4b legitly earned before I started dicing/flowering.