OP, my dad died 11 months ago. I am executor. I am still coming to terms with the loss of my dad and the horrificness of the job of sorting out the estate, and it's still not sorted.
I'm sorry for your loss, and I know the emotional attachment to a house. We looked into buying out my siblings and keeping the house as an investment. To do this, you get a valuation of the house, and agree the price, and you need to raise a third of that to buy out your sibling. You can use your share of any money in the estate (bank accounts,investments) towards this. If you are eligible, you could re-mortgage the house to raise the money. You'll need a solicitor to oversee all of this for you.
I think as executor, your sibling can just go ahead and sell the house. However, if you discuss the situation with them, and can produce the money to buy out their third, I can't see why they wouldn't be agreeable. After all, it saves them having to market and sell the house (another stressful, drawn out process).
In the end, we decided to sell our Dad's house. We took advice that you should never keep a house you are emotionally attached to as an investment to be let it out to tenants. Which is, I think good advice.
Emotionally, my siblings and I found it very difficult dealing with Dad's house and things. We actually left it all alone for about 3 months before we could even start dealing with it. It was harrowing and stressful. You will have to steel yourself and tell yourself they are only things. Objects. Brick & mortar. It is difficult. But it's part of the grieving process - letting their things go (obviously apart from the stuff you keep, heirlooms, mementoes etc) is part of letting them go and moving on.
It will feel raw for a long while 