Hi there, there are established radio failure procedures for every airport.
Always find out such procedures before flying into one. They are always available in the AIP.In your case you have mentioned that no Expected Approach Time has been given. Not to worry, the ATCer will always abide by his/her R/T failure procedure. He/She will clear the two guys below you asap knowing very well that by a particular time u will be carrying out established RCF (radio comm failure) procedures.What u won't know is whether the ATCer is able to read u or not. Just sqawk on 7600. The ATCer will do the rest.I am not a pilot but an ATCO. I work in an a/field where a mixed mode of acft does its training( From B747's to C172's). Whenever they come in to the tower, I will always brief them the RCF procedures for my a/field and will also provide the tel no for the tower and also my own mobile no, just in case.Hope this helps.Situational awareness helps a lot.