If the bank agrees then selling and paying back a personal loan of 56K between you sounds like the better option. Your problem will be to get the bank to agree.
You need to both immediately get the bank to agree to the sale. As you have a buyer speed is of the essence.
Advice to sell now is based on the fact that rent would not cover mortgage, you are a separated couple, you are not experienced at being a landlord, your mortgage has been interest only for 2 years, your mortgage will go to 1300€ in 12 months.
Be aware the some banks have been agreeing to allow house sales in negative equity and continue the 'negative equity' part of the loan to continue at mortgage rates rather than personal loan rates. Probably the worse your financial situation the more likely they are to agree this.