This isn't the answer you want, and I'm not an expert on clothing, but a lot of seriously competitive female skaters that I have met get custom outfits, and spend a fair bit - while men often go with plainer clothing, put together from off-the-rack conservative wear (black jacket and pants) or off-the-shelf dance wear from dance wear stores and catalogs, especially at lower competition levels. Maybe it isn't that important that men be showy in their clothing?
If men's pants are tight enough, you may want something like a "dance belt" to keep things looking decent.
I can't imagine a serious ice dancing male in a Johnny Weir type costume, with lots of lace.
The closest I can imagine to the lady's equivalent would be something like a Scottish kilt - but the music better match. Also, there is
some history suggesting that if you copy another ethnic group's characteristic costume, some people, possibly including ice skating judges, will be offended. In fact, some Scotts object to other people wearing plaids, especially plaids characteristic of specific clans. I can't figure out the rules on this: Lots of people have used broadway-style clothing, even if they aren't American. Similar with some of the older European styles, even if you aren't European. But if you imitate a smaller ethnic group, that seems to be considered improper. I wonder why?
It seems to me more important that the clothing match the musical theme and choreography - e.g., if you dance to Firebird, you better wear clothing to match, or if you dance to a ballroom theme, you need to match that.
Halloween costumes ARE available for men, and some are fairly fancy - but most of them don't come up to ice dance quality and tightness standards. Men's off-the-shelf ballroom dance outfits possibly do - but you would have to pick a lady's outfit to go with them, rather than the other way around.
Last Olympics' medal winners
http://nickverrreos.blogspot.com/2018/02/ice-style2018-winter-olympics-figure_21.htmldidn't perfectly match - they basically just picked tight dance fitting wear. That is going to look fairly similar, in terms of fit and fabric, for everyone, and is widely available from dance supply houses The Shibutanis tried to match colors a little, but it seems like men wear black or sometimes just very dark, and possibly a little white, and women wear intense colors, sometimes picking up a little black and/or white trim. Women can also sometimes pick up a little black in the eye make-up.
The ISU also imposes a lot of rules that you must follow. Within the U.S., I think ISU rules still apply, but you'd have to check. Check the technical rules on the ISU site. Unfortunately, they also modify those rules in communications, that are much less organized. Keeping track of these things is one of the duties I would expect of a coach, and it is probably a good idea to consult with your coach for ideas.
At the very high end of competition and money, it is easy to search for pictures of high end custom-made ice dance costumes, e.g.,
https://www.thecut.com/2018/02/olympics-figure-skating-costumes.html (ISU rules about costumes may have changed since that
page came out, and it isn't authoritative.)
http://nickverrreos.blogspot.com/2014/02/ice-stylefigure-skating-costumes.html https://www.cosmopolitan.com/style-beauty/fashion/advice/g3831/meryl-and-charlie-ice-dancing-costumes https://www.pinterest.com/BIRBwitaplan/pairice-dance-costumes (Pairs not Dance - but you can see some of the same ideas apply)
But that seems silly for lower end competitors, if that is what you are. But you can immediately see some things in those pictures- e.g., when women try to wear only black and white, it doesn't look good. When men don't wear black, or add tinsel, it just looks boring or wierd. (I guess men can wear a colored tie and still look good.)
(Of course, I am using American standards of dress. In some other countries, men routinely wear bright colors in formal dress - even pink.)