That alternative is to get hold of an Amiga multisync monitor such as the Microvitec 1438 which will display both 15Hz game and 31Hz higher resolution modes so you can play games and using Workbench at a much higher resolution on the same monitor.

You should be able to find an Amiga Multisync monitor quite cheaply on ebay. An Amiga badged version of the same monitor also exists. Plus there are some other Commodore made multisync monitors such as the Commodore 1960.