I have been around a lot of hotels over the years. Some have wonderful networks. Others are - not quite so wonderful

You won't have any control over the router in a hotel, and the hotel ultimately has complete control over whether you even get to connect.
Often, your connection troubles will be the hotel's (weak) attempt at making a network that is reliable in all rooms (and not quite as successful as they want you to believe)
When you are not using any particular IP address, then someone else new on the network will likely connect using that address.
And, when you next choose to connect, that address may not be available (in use by another device), so a static address might work for one time, but is not likely to be useful on a continuing basis.
You MIGHT be able to make arrangements with the hotel, where they could assign you a working static address... I bet that's a little unusual at a hotel.
Why not just leave your network set to use the DHCP server? Restart your Mac each time that you connect to the hotel's network. It SHOULD work just to quit your browser, then relaunch, but not on some networks.
That would automatically choose the next available address.
If you always get that "another device is using the IP address), then you might have to click the "renew DHCP Lease" button in your Network pref pane each time you connect.
A larger hotel might have a business center. There may be other options for a better connection in that location, if possible.