Can’t afford to pay half the mortgage and my rent

Would really appreciate some advice, will try to stick to the facts with no emotional stuff.
Have been married nearly 20 years, two kids older one lives independently, younger will be leaving in the summer (going to college in a different town and staying with relatives this was already pre arranged before relationship breakdown as oldest did the same).
Own house which Zoopla values between 516- 570k, it states 543k with high confidence. We have a mortgage totalling 248k
In theory we are lucky to both have enough equity to start again and get our own properties. We both earn similar amounts the only issue we might have to buy in an area slightly further out as prices are high here. But again no problem as our child will stay elsewhere during the week for college.
Problem - husband refuses to move out, refuses to sell the house for various reasons given. He says cannot really afford to buy me out without help from his parent. As it stands we are in separate rooms, not talking and the atmosphere is horrendous. I have mental health issues and it’s affecting my work, I’m sorry I know I said I will take emotion out of it!
I have had solicitor advice and they said not to move out. But I cannot bear this much longer and planning to move out once the child leaves in the summer (so still a very long way to go). As solicitor explained to me as he refuses to sell I will have to take him to court at 2k-5k each time (they said maximum 3 times and then the judge will decide). Plus the solicitor fees were quoted at 3-5k plus vat minimum.
When I move out I won’t be able to pay half of my mortgage on the house I no longer live in as I will have rent and bills to pay. I’m only thinking of renting 1 bedroom with a sofa bed so our child can come and visit at the weekend.
What will happen to my rights in regards to the equity in the house? He might never sell it but similarly once I’m out I will refuse to remove my name from it unless I have half the equity (perhaps minus the years I’ve not paid?)

Why would you pay half the mortgage if you’re not living there?
Can your ex afford to pay it from his own income?
Moving out wouldn’t affect your rights to a share of the equity.