Avoiding presidential term limits

Two-term American Presidents are disqualified from being president again. Some suggest the (non-existent) 'VP loophole' sidesteps these constitutional conditions. 

Whilst this isn't the case, there is a way to avoid them and all other qualifications for the presidency. How? By becoming Speaker of the House.

Speaker Loophole Theory

How does it work? 

A two-term President could be elected to the House of Representatives. Following this, they'd need to get elected as Speaker of the House.

The Speaker is second in the presidential line of succession (following the VP).

There is no consitutional requirement for the Speaker to fit the presidential qualifications. 

So if the President and VP both leave office, then the now-Speaker, ex-two-term President would now become President for the third time.

Speaker Loophole Problems

But perhaps this isn't so. 

Maybe in this situation, the Speaker would be skipped and the next in line of succession would be chosen instead to be President. 

Because whilst not ineligible to be Speaker, they are after all still ineligible to be President

Also, planning and using the Speaker loophole doesn't seem practical. 

Would people go through all the effort of primaries and elections to become President/VP, just for both to resign for the Speaker to become President again? 

(And this is if the ex-President wins both an election to the House and the election to the speakership.)

Not impossible, but so statistically unlikely that it might as well be.

Further Successors

Other positions further down the line of succession, such as the Secretary of State, could also make use of this loophole. It works the same.

The problems are also the same. Well, the same but enhanced. Let's, for example, say a two-term President uses this loophole does so by first becoming Secretary of State, or of Defence. 

The further down they are in the line of succession, the more people would have to resign for this loophole to work. Therefore the more improbable it would be to work.

Conclusion

So, the presidential requirements in the constitution can be avoided. 

(If we ignore the whole 'maybe they'll just be skipped over to the next in line of succession' factor, going to someone who is constitutionally eligible to be President.)

Plus this avoidance requires the person to become President after succeeding the elected Vice-President first. This is all very unlikely to happen but it is nonetheless a possibility.