I haven't found any competitor info about Skate Dallas yet (will keep looking).
Some of the bigger club competitions coming up this summer, in addition to Skate Milwaukee (July 7-11), include:
Broadmoor Open in Colorado Springs, CO, Tuesday, June 29 - Friday, July 2 (schedule by day is posted):
http://broadmoorskatingclub.com/bo-add-page/
Dallas Cannon Classic (inaugural solo & partnered ice dance comp.) in Allen, Texas, July 9-11:
https://www.dallascannonclassic.org/
Skate Detroit in Bloomfield Hills, MI, July 22-24:
https://dscclub.com/figure-skating/skate-detroit/
Philadelphia Summer Championships in Aston, PA, July 27-31:
https://iceworkssc.org/events/philadelphia-summer-championships-2/
Held in conjunction with the U.S. Collegiate Championships, July 27-29:
https://www.usfigureskating.org/event/2021-us-collegiate-championships ($10/day admission this year)
Glacier Falls Summer Classic in Anaheim, CA, July 29-August 1:
https://glacierfalls.com/
Chesapeake Open at Gardens Ice House in Laurel, Maryland, Aug. 4-8:
https://baltimorefigureskatingclub.com/?page_id=44
Cranberry Open (non-qualifying) & ISU internationals Cranberry Cup/Lake Placid Dance International, hosted by the SC of Boston in Norwood, MA, August 10-15:
https://scboston.org/cranberry/