Emmett,
I will offer some advise. At 22 you have bags of time. I would suggest you take your engineering degree and go to the next level and get Chartered. Whilst you are doing this plan you aviation career through the modular route.
This way you have all your options open to you with no doors closed.
A contingency of being able to drop back into engineering if it all falls through may not be as easy as you think and you will find yourself scrapping with the new graduates whilst having a massive debt.
Sure going for CEng will be tough but you will be in a far better position by the time you finish the modular route as a result of lower debts, less worried parents and a viable alternative career as an engineer.
If you decide at some point during the modular route that its not for you then the cost of dropping out is way less than if you flunked the integrated.
You are an engineer, do the risk analysis!