Larger speakers make more noise?
Kind of true but a lot depends on quality and power of the speaker and amp.
Amps being the same, quality of speaker is important.
Output for 50mm speakers available on Amazon is range 0.5W to 5W.
Output from 50x90mm oblong speaker 10W
Output from 100mm speakers varies from 8w to 100w.
Other consideration, will the sound unit put out a pre-amplified signal? If so you can put in a bigger amp.
Other things to consider.
Frequency response, you don't want all tweet or all woof. If you can find a 100mm co-ax speaker it might be a good option. These usually only come in pairs, unless you can find an old car stereo with one duff speaker in the charity shop, or free ads paper.
Weight. Anything from 200-500g for a nice quality speaker in this range. Placement of this weight may be fixed and so the other ballast needs to be planned around it.