Question: why do you have so much equity in your home? Have you been prepaying the mortgage, did you put down a giant downpayment, or did you just luck into a hot real estate market? If it is because you have been prepaying the mortgage, stop that right now. You need to get rid of the higher-interest SL debt and get your investments on track before you should even be thinking about prepaying.
This is one of the few times I would recommend doing a cash-out refinance to pay down other debt, and it is for one reason only: SLs are not dischargable in bankruptcy. With a home, your worst-case scenario is you lose the house via short-sale or foreclosure; it sucks, but you have the opportunity to start again. With SLs, if the shit hits the fan, you can lose everything and still have a giant albatross of 6-figure debt hanging over your head, continuing to grow with interest and penalties.
But I very much advise doing so as part of a larger plan to get your financial ducks in a row. Even if you do the cash-out refinance, that is only going to get you about half the way there, and you will still have six figures in SL debt out there. And that, my friend, is a hair-on-fire debt emergency. So you need to be using that big-ass shovel of yours to dig yourself out of that debt ASAP. That includes:
1. Find the best cash-out refi you can. Probably not going to be Wells Fargo, FWIW -- IMO they generally suck eggs.
2. Once you do that, set aside a few thousand bucks for an emergency fund if you don't already have one. Enough to get you through a month or two at a bare-bones level.
3. Throw every remaining cent at the SLs, before the 0% period expires.
4. Start researching options to refinance or consolidate those SLs. Note that at your income level, it is very unlikely you will be eligible for any sort of forgiveness coming out of the current political situation, so start from the assumption that you're going to need to get these suckers paid off on your own, and figure out the cheapest, lowest-interest way possible to do so.
5. Once you have the SLs set on whatever your plan is, throw every remaining cent at them. That means looking hard at your budget -- at what you consider necessities that are really just luxuries that you think you "deserve" because you work so hard for them.* The reality is that Past You spent a lot of $$ that he didn't have, and Current You is left holding the bag. The very, very good news is that Past You spent that money to give Current You that giant-ass shovel that you now hold. But that still means Current You is responsible for deploying that shovel as effectively as possible, so that Future You won't still be digging out a decade from now.
On that last bit, I'd suggest doing a full case study to evaluate your spending. There are a lot of people here with a lot of experience who can help you identify your blind spots and suggest ways to save money on various parts of your budget.
And good luck!
*I don't know you at all, so this is not a personal slam in any way; it just reflects the reality that the vast majority of us live in and the kind of thinking that leads us to justify spending on ShinyPrettyNow things instead of using that money for the more boring stuff that has only long-term benefits.