There are other alternatives to thiourea reducers for your purpose.
A more common ferricyanide bleach is what I use for clearing whites in prints. There are several combinations you might try first.
The simplest is a weak ferricyanide solution (0.1-1.0% working solution). Give the print 30 seconds in this solution with agitation, then transfer it to a tray of fixer. Sodium thiosulfate fixer works less aggressively than ammonium thiosulfate rapid fixers, but both can be used. With this method, the reduction does not take place till the print has been in the fixer for a while. Repeat the cycle as needed to reach the desired density. Note that your ferri solution will only last 15 minutes or so once you have introduced some hypo into it by returning a print to the bleach solution.
Another way is just to use Farmers' Reducer, which is a mixture of ferricyanide and sodium thiosulfate (similar to the above, but in one solution). Recipes for this are easy to find. Dilute as needed to keep it from working to fast. Again, the working solution life is short.
My favorite method lately is to use a rehalogenating bleach of ferri and potassium bromide. I keep stock solutions of 10% ferricyanide and 3.5% bromide. These can be mixed in a 1+1+whatever to get the strength you need. (i.e., many dilutions possible). With this method, the bleaching happens in the bleach tray as the silver is converted to silver bromide. Pull the print before desired density has been reached and rinse it well for several minutes in running water. The print can be returned to the bleach solution if needed at this point. After desired density has been reached, fix the print completely and wash as usual. The life of this solution is significantly longer.
Note that this method can change how prints tone, so keep that in mind when planning toning.
Hope this helps,
Doremus Scudder