With this level of loan debt the "snowball" method will end up costing you more in the long run. AND it assumes that all of those interest rates are fixed - which if you took out private loans, they may not be. The snowball method is a stupid one overall, it just makes you feel good that you are closing out accounts when all it does is increase the amount of interest you pay over time. One of the (many) reasons I cannot stand Dave Ramsey.
First thing to do is take an inventory of the loans that you have, figure out what your monthly payments will be, and match that to your take home pay and budget. If there's a way to increase this (like through additional clinical certifications, PRN work or a second job/hustle, do it). I paid off a similar loan burden with a second job and a side business.
When it comes to loans, consider the following:
1) If your employer offers a match for IRA/retirement funds, contribute only the amount necessary to receive the match. Otherwise you are leaving free money on the table.
2) Build up an emergency fund of 3-6 months' worth of expenses.
3) Make the minimum monthly payments on all loans. If you have "extra" money to spare, for example, if your emergency fund is large enough and you're considering upping your 401(k) contribution, don't. Every dollar you pay down debt is a guaranteed return on your money. Pay down the loan with the highest interest rate FIRST.
3a) #3 has a wrinkle in that if you have a mixture of private and Federal loans, the Federal loans have protections like deferment if you're laid off, Federal loan forgiveness, discharge on death, whereas the private loans generally do not have similar protections and you owe money regardless of your job situation. The Federal loans are also fixed interest, whereas the private are usually variable. You'll have to weigh the pros/cons of this if you have a mixture of loans. For example, the private loans might be lower interest than the Federal, but since they have fewer consumer protections, if might be in your interest to pay those off first even if they are lower interest.
If you can, consider relocating to an area with a lower cost of living. I moved from the NE out west to a more rural state and was able to slice my rent payment by 50% and expenses by a significant percentage. Some agencies like Indian Health Service and the VA offer tuition reimbursement in exchange for several years of promised service, and you find similar deals with rural non-profit hospital systems as well. Not sure what the market is like for SLPs in this regard, though, and that assumes you are a clinical SLP.