I have found the following workaround to function quite well, maybe it will help if anyone will be looking for a similar thing.
Suggestion filter: [all[tiddlers]!is[system]search:title<query>get[myfield]split[ ]unique[]]
– type the title of currently edited tiddler and se all IDs stored in its myfield field.
Display filter: [all[tiddlers]!is[system]search:myfield<currentTiddler>first[1]] [[/]] [<currentTiddler>] +[join[]]
– the title will be displayed in front of the ID, to make sure the ID comes from the tiddler that we actually want, e.g. “MyTiddler/123”.