This is sort of a "how long is a piece of string" type question. There are so many papers out there and so much of it is subjective that any rules as such can only be opinion ... and so much depends on what printer you are using too and whether it is dye ink or pigment ink, then add in calibration and profiles ...
Having said all that ... there are som papers which are targeted at mono such as Ilford Galerie Gold Mono Silk - I've not used it as I don't do much mono printing, but those that have always praise it.
Some landscape photographers prefer a matt finish, such as Joe Cornish, his paper of choice is (or was) Fotospeed Smooth Cotton 300gsm and it would seem Charlie Waite prefers Fotospeed Platinum Etching 285gsm, whilst I am a gazillion miles off those two gents in terms of ability my preference is a baryta type paper which has a soft sheen as my goto paper with both Fotospeed Platinum Baryta 300gsm and Permajet FB Gold Silk 315 fitting the bill. I use a pigment ink printer and have icc profiles for the paper/ink combo as well as a calibrated workflow - in other words the prints look like they do on screen. I say like as they cannot be exactly the same due to colour gamuts, which is still a little above my head just now, but I'm learning!
The two papers I use also work wonderfully well with portraits too and similar types of images.
The surface finishes play an important part in how the final image looks, a matt finish is just that, matt, i.e. no shininess at all. The full glossy finishes look like wet paint for want of a better way of describing it and can make images look really quite saturated and vibrant - this sounds good, but can actually overpower any subtle tones imo. A semi gloss is sort of a halfway house, not as glossy and has a less dramatic effect. A lustre finish is similar to a semi gloss but somehow seems to have greater depth - like I said very hard to explain. I'd say the baryta papers I sue have a lustre finish, they are definitely not matt. This type of finishes seems to bring out the subtley of toning as well as offering great depth of colour and good blacks, at least the ones I've used do.
I've also tried some metallic pearl type finished papers. These also are what I'd describe as a lustre finish, but they also have a metallic sheen to them. They produce very sharp prints and my limited testing with mono showed promising results for contrasty images, not sure about them being subtle though
Then there are textured papers, these can produce stunning results but in my opinion are best used for larger prints. The ones I've used are all matt papers and I particularly like the Permajet Museum 310 and Parchment 285 papers but the smallest I'd print from them would be A3 otherwise the texture gets in the way rather than enhance the image (sorry best I can explain it). Neither would be first choice for mono though imo.
Many of the paper companies do test packs, worth trying a couple imo to get a feel for what you like. At the end of the day, they are your images and your prints - you should be aiming to please yourself first and foremost with how they look, rather than worry about pleasing others. I know that sounds selfish, but it isn't meant to be.