Option 1) Use tokens from radio input directly in the final query for example. Where tokSite and tokEnv are the tokens from the two radio inputs respectively. This option will wait for input values in case Search on Change is false and Submit Button is enabled.
Option 2) Use the <change> event handler for each radio to set the required token. Use this approach when each change of radio option needs to set the final token without Submit.
Option 3) Use Independent search to set combined token. Advantage of this approach would be that in case you have Search on Change turned on for the radio inputs and Submit button to pass on Tokens to the search.