Welcome to eastern New Mexico! Though in Clovis, you ARE practically on the state line, most of the shows in Texas are further east, so you are likely as close to the New Mexico shows as you are to most of the ones in Texas....
I am a charter member of the Land of Enchantment Miniature Horse Club(LEMHC); and currently, secretary--we do have members around the state, including one in Clovis, and one in Portales, as well as Roswell and Artesia! PM me if you'd like more info on LEMHC;we'd love to welcome you as members!)I am the one who convinced the NM State Fair to begin offering a Miniature Horse show,in '86-it became AMHA-approved at the start of the decade of the '90s, and continues today. LEMHC is the sponsor of the annual Spring Fiesta Show, at the State Fair grounds' indoor arena, each year around mid-May-historically, a good-sized show, and VERY exhibitor-friendly, especially as to cost, as we were one of the first, on my urging, to offer a flat fee entry schedule(I have always felt that showing should not be available just to the financially well-to-do!)
Population base and member support and willingness to work are vital to the 'putting on' of horse shows-as the 'home base' of the AMHA, east Texas does have LOTS of people who own minis, and LOTS of them want to go to a show that is just down the road. VOILA! Lots of shows being put on...so, if you want to show a LOT, you may have to move to hot, humid east Texas(Texans: no offense meant-I am a Texan by birth!
Humidity is just not MY cup of tea!), so as to be CLOSE to where there are a LOT of shows!!
In any case, you will find miniatures are one of the "best things going" in the horse world-I know I'd NEVER be without some!! (Am currently downsizing to a more manageable number, so when you're ready, holler if you'd like to look at several REALLY nice ones...
!)