As a regular to lower league games and also someone who watches (suffers) Self Preservation League matches on the telly from time to time, I think you may be surprised by how narrow the gulf in quality actually is!
Your Govan Utd's rise through the divisions might not be as swift as you think, especially if you manage to make it up to the first which is probably the most competitive and difficult to rise from leagues around. Although by then all the SPL clubs you left behind will be so desperate for you back they'll vote to increase the number of promotion places I'm sure, not!