I think is a good idea .
We have a very large DB and there is no chance to run a DBCC Checkdb in reasonable time.
If you want to speed up the process, 2 hints
1) Process all databases in parallel, for example using a SSIS package
2) In a single database, the control runs in sequence, is possible to run it in parallel using the DBMS by something like
declare @cmd varchar(max) = ' select -9 o union all '
select @cmd = @cmd+ ' select count_big(*) as '+name+ ' from '+name + ' with index(1) '
exec ( @cmd )