I have a website that is only accessible from the European Union. Let's say I've traveled to Asia and need to view some websites (booking tickets etc). because it states that this site is inaccessible from your current location
Do I make use of any other services besides AWS workspace/DAAS?
You can use a VPN. Some options are:
Install a VPN server in an allowed region and connect from your client. AWS and Digital Ocean might have some out-of-box VPN servers on the marketplace
Alternatively, you can try using some free VPN server like VPN Gate
Or choosing a cloud VPN service like ExpressVPN
Create an AWS Workspace virtual desktop in whichever region you need. Takes no time, there's a small monthly charge then it's hourly, or you can pay a single monthly charge if you use it a lot that works out better value.