15 minutes if already have tokens and you're extremely lucky. I'd say that you're likely to be looking at a couple of hours, possibly longer. Priest in Peril, Lost Tribe, ANimal Magnetism, Wolf Whistle are all extremely short and will probably take less than an hour RS gold or two each. Ghost's ahoy and Fremmenik Trials are a bit longer, but neither are very lengthy.
Training and Slaying gear should be identical and is dependent on what you're fighting. Castle Wars probably doesn't matter in the least, and you'll get the best bonus atk for whatever style you choose. Chances are though you'll still in the same position as cannon fodder the 138s should they choose to play. I'm 115 Combat and the most me is potentially delay the hardcore players for a short period of time.
Soul wars, don't really matter anyhow. Weapons of range could keep activity up but if you're on one of the crowds of the world, it does not matter what you do just as long you're hitting at least once every couple of minutes. There will be barragers users of chinners, and 138s with 99 slay who will dominate the day. I personally would just ignore soul wars in general. Barrows have a guide to read. Find out the method you prefer and then alter your gear to follow what it suggests.
If you are able to get an TokkulZo, you should use that instead of an archer's ring: it's part of the older Kiln quest, and it has +4 in all combat statistics, with the exception of prayer and strength, which makes it more powerful than it's archer's band.
An amulet of ranging is probably a better thing to buy instead of a fury because it has a more ranged attack benefit, though it protects slightly less well and has none of the prayers bonus.
There's no need to buy a Robin Hood Hat and an archer helm. For one quick stats check the archer helm has better defense, while the robin's hat gives you +2 more ranged offense. It's really your call, the differences are small. Robins work great as a decorative item. It is recolored to earn loyalty points in Xuan in burthorpe and the varrock.
If you don't own them, purchase a pair of barrow's gloves. They're extremely effective for your glove slot and are extremely useful as result. Also, you'll need to purchase the ranging boots If you want snakeskin, it is best to get them because ranger boots (12M) will not be within your budget.
A shield slot is likely to be a god-illuminated book. The Zamorak book can cost the ungodly amount of 22M one of the best options is buy runescape 3 gold armadyl's book of law priced at 1.7M and it has 2 less ranged offenses however, it has defense capabilities and once you've lit it, you'll also get a big prayer bonus.
