Your debt isn't too bad actually. We just finished paying off the last $60k of my $90k student loan debts in the past 2 years (making lower incomes), so it's definitely possible for you to get it done rather quickly. Agreed with other posters, we need to see your expenses and see what could be cut. Your income is an amazing asset! I wouldn't keep more than about $5k in an E-fund with this debt emergency. I'd advise only contributing enough to 401(k) to get the match and putting any remaining extra money each month towards the highest-interest loan until you've eliminated all the loans with over 5% interest rates. Unless your spending is insane it should be pretty easy to pay down that amount in less than 2 years.
edit// As an example of what a monthly report could look like as we track your progress, here is my report from my journal for last month:
January 2019 Report Card:
Income (2 29 year old earners, less 401(k) contributions): $6,320
Expenditures:
Auto & Transport: $768 - higher than usual thanks to replacing wife's tires on her 2010 CR-V
Bills/Utilities: $327 - typical
Groceries: $547 - typical
Charity: $100 - typical
Health/Fitness $190 - typical
Home: $589 - typical
Property Taxes: $3,812 - annual
Travel: $1,489 - booked 2 round trip plane tickets to London (November vacation, will be my first time off the continent), 2 round trip plane tickets to San Francisco (March, to visit wife's sister), paid for our 2 night stay in San Juan, PR (February, mini-vacation before attending fraternity big brother's wedding), and paid for 2 night stay in Houston (January, wife competed in state weightlifting championship)
Everything Else: $994 - ouch, expanded below
Total spent: $8,816
Debt:
Mortgage: $98,702 (-$184)
Total debt: $98,702 (-$184)
Assets:
House (Tax value 2018): $180,410 (+$0)
Cash Savings: $35 (-$10,401) - primarily went to funding IRA's and paying property taxes
His Rollover 401(k): $132,760 (+$9,846)
His 401(k) $2,266 (+$2,266)
Her 401(k): $89,474 (+$7,714)
His Roth IRA: $38,717 (+$7,368) - funded $4.5k/$6k 2019 limit
Her Roth IRA: $39,481 (+$8,998) - funded $6k/$6k 2019 limit
His Traditional IRA: $16,740 (+$1,317)
Her Traditional IRA: $16,697 (+$1,267)
Co-owned Taxable Brokerage: $13,293 (+$1,053)
His Sofi Wealth $215 (+$112) - put $100 to get $100 bonus, will probably liquidate after a year to simplify life
Total assets: $530,088 (+$29,428)
Net Worth: $431,386 (+$29,724)
Figures next to debts and assets are difference from previous month.
Everything Else categories with > $100 spend:
Restaurants: $273 - majority of this was spent while in Houston, remainder was lunches/dinners with friends
Gifts: $178 - cash for Chinese New Year this coming weekend, 2 birthday presents (mom and sister's boyfriend)
Alcohol & Bars: $118 - a few beers on a work trip, "VIP cocktail night" with family, lunches/dinners with friends
Clothes: $114 - annual replacement of gym clothes that gets destroyed (2 shorts for me and some t-shirts for both of us)
Personal Care: $100 - Wife's lashes that her niece does for her
Overall, we live an exceptionally extravagant life.