Examples of trying to set test order to be sorted. Note that I'm looking at the order that test files are being run as well. Perhaps that isn't controlled here.

sorted_test_order.rb

# So far I have tried the following code in test_helper.rb

# Based on documentation here: http://api.rubyonrails.org/v4.2/classes/ActiveSupport/TestCase.html

class ActiveSupport::TestCase
  def test_order
    :sorted
  end
end

# Realizing that it is a class method I changed this to

ActiveSupport::TestCase.test_order = :sorted

# Regardless in Rails 4 the default test order is supposed to be :sorted 
# while in Rails 5 it changes to :random
#
# Also checking manually using RAILS_ENV=test rails c I can see that 
# ActiveSupport::TestCase is fact returning :sorted

# Moving on to MiniTest directly

class MiniTest::Test
  def test_order
    :sorted
  end
end

class MiniTest::Test
  def self.test_order
    :sorted
  end
end

# Both of these seem to have no impact as well. Both the order the test files
# are executed and the order of tests within the files are still randomized.
# What I have had luck with is fixing the seed value when running locally.

# I have also tried adding `i_suck_and_my_tests_are_order_dependent!` to the
# TestCase base class for good measure, but I have no intention of checking
# in any code like that.

# Also considered that perhaps I was setting this too late and moved the 
# code to `config/environment/test.rb`. I can confirm via pry breakpoint 
# that MiniTest::Test.test_order == :sorted but tests continue to run in 
# random order.

Cool, thanks for tracking it down @chrisnicola. It would be nice to update minitest-spec-rails's readme if there's something you tripped on that could save others the same headache down the road, or that the very least, having your issue in the repo could help others. Thanks for taking the time to dig into it.