Try the installer from the link above:
Win (just download and start, also compatible with v6): https://github.com/vergecurrency/verge-core-installers/releases/download/5.0/win64_verge_v5_blockchain_installer.bat
If you know what you are doing, QT-Wallet-V6:
0 - Download latest Verge-Blockchain
1 - Start verge-qt first time: directory VERGE with files and directory database will be created.
2 - MAKE A BACKUP of your wallet.dat now !! Menu: File -> Backup Wallet..
Put this backup (wallet.dat) on an USB-stick or whatever.
This file contains everything you need to get access to your coins.
If you lose your wallet.dat file, all of the coins you had in your wallet will be lost.
Keep in mind that every time you create a new Verge wallet address, you MUST create a new backup
3 - Stop verge-qt
4 - Find the folder with you verge data, delete ONLY the folder chainstate and blocks, then unzip these 2 folders from the bootstrap:
(type in start: %appdata% to open Roaming\VERGE)
How-to 2: https://www.youtube.com/watch?v=iIpLx0lIZpU&t=0s&index=8&list=PLM5d-lzxFeKjdzzKFBqyNXGH_DenE5ASe
5- Start the verge-qt again, if the wallet is not connecting to the first peer within seconds then you have a local issue.
6 - If you need further support take a look at the logfile debug.log and join Telegram: