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Every API call accomodates an rdr parameter. This specifies what URL to redirect the browser to after successful completion of the API call. You can use this to chain as many API calls together as will fit within the size limit of a URL. URLs can only be roughly 1000 characters in length. Don't forget to URL encode the value of the rdr parameter.
So you can create a formula field in QuickBase that will call two QuickBase URLs like this:
UrlRoot() & "db/" & dbid() & "?act=API_EditRecord&_fid_11=value1&rid=" & [Record ID#] & "&rdr=" & UrlEncode(UrlRoot() & "db/" & dbid() & "?act=dr&rid=" & [Record ID#])