For my friend's campaign I am building a character focused more strongly on (dungeon) exploration compared to combat or social encounters. I am a variant human rogue (plan to be Inquisitive) with the Dungeon Delver feat. So, right now, basically my skills are searching for traps and secret doors. 

While doing a dungeon crawl, I want to try to avoid being repetitive and annoying. I dont want to just enter every room like 'I SEARCH FOR TRAPS' or "ARE THERE ANY SECRET DOORS?" Obviously, given my skill set my character should  be searching every room to make sure they get through safely and uncover treasure and what have you, but is there any way I can be more clever about when I do it or at least how I frame the questions? I dont want to come off as a broken record, but I am also afraid that if I dont make the most use of these skills, my character is going to perform poorly since he is weaker in other areas. 

Anyone every play something similar? 

I dont really know how to fix the broken record issue. Hopefully your DM just gets used to you looking for traps in caves and dungeons so you only have to specify you are looking for traps when it is less obvious.

I built a dwarf artificer with the intention that he play as a nanny/guardian to the party. Warding camp, cooking, finding traps, opening locks, making medicine, repairing gear, etc. He is not ineffective in combat, but would focus on defense.

One way to fix that issue would be to simply have the "Secret Tunnel" song from Avatar playing on your phone each time you enter a room.  :P

If this is something your character is always doing, then the DM could incorporate it into how they introduce and describe a room (like how the party's passive perception and investigation should be used). This is something you may want to discuss with the DM on the side. Some rooms may be gimmies, and larger/more complex rooms may require rolls.

Well, I don't know if this would Reduce the # of times you say, "I'm searching for traps", but having a few more methods of testing for traps would make your party both better prepared and make trap-finding more visually imaginable.  Carry around some rocks for weighing pressure plates down.  Definitely keep a 10 foot pole and a bear trap or two on your character.  Keep flammable materials on you at all times in case you need to create smoke to decrease enemy visibility or if you need to smoke them out.    

You're always looking for traps. Do you find them frequently? That is to say, does your DM use a lot of traps? One way would be to double down on the DM's description cues. I don't know how descriptive your DM is, but I'm talking about something like instead of:

DM: The party pushes open the thick iron-barred oaken door with a slight creak to reveal a chamber. Old cobwebs stretch between giant wine casks stacked carefully along the south wall and the room has a musty smell of stale alcohol.
You: "I search for traps!"

maybe something like:

DM: The party pushes open the thick iron-barred oaken door with a slight creak to reveal a chamber. Old cobwebs stretch between giant wine casks stacked carefully along the south wall and the room has a musty smell of stale alcohol.
You: "Those wine casks look interesting. I can imagine someone placing them there to tumble onto an unsuspecting trespasser. I would like to take a careful look around the room--especially at those casks."

And if your DM tends to go a bit light on immersive description (You enter a long chamber with wine casks stacked along the wall.), you could work with the little that you have to prompt more description out of other players the the DM as well, so long as you are comfortable being a little bit more roleplayish. This way you can keep doing your thing, but other people in the party get more out of it as well.

There is so many builds and advice on how to get a lot of damage , 

How do I build a character focused on exploration (not Dungeon Crawl, not Social). What Class or Multiclass is great for this, feats etc...