Here are a few more links, anecdotal evidence and additional references to studies documenting the relationship of carbs vs. SHBG (not a comprehensive list):
[MEDIA=youtube]urPyFr4DVWo[/MEDIA]
[MEDIA=reddit]ketoscience/comments/4oqysp[/MEDIA]
[URL unfurl="true"]https://www.researchgate.net/publication/8645394_Changes_in_sex_hormone-binding_globulin_and_testosterone_during_weight_loss_and_weight_maintenance_in_abdominally_obese_men_with_the_metabolic_syndrome[/URL]
[URL unfurl="true"]https://www.marksdailyapple.com/do-i-need-to-eat-more-testosterone-levels-hrv-and-carbs/[/URL]
[URL unfurl="true"]https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3680959/[/URL]