There could well be a (4) - 25kV electrify Amersham to Aylesbury, and order, for the Met, a new build of OHLE plus third rail stock. It doesn't have to be S-stock, anything that fits will do.
Or (5) - build some third-rail battery units which could charge while on the third rail. Vivarail might be able to knock something up
I assume your (3) means the Met only running to Watford rather than Amersham if I read right?
Politically I can’t see the Met ever going to Aylesbury again. Chiltern seems to be the preferred option for many north of Rickmansworth. Even now one could probably slim the Met Amersham service down to a peak-hour city commuter service and people would be happy, especially if they got more (and perhaps longer) Chiltern services in compensation. Notice how the off-peak fast Amersham services *haven’t* returned in the years since they disappeared.
Realistically it’s probably much easier just to keep Aylesbury via Amersham as a diesel service, and electrify the rest of Chiltern on AC. In an ideal world one would separate off the Met fast lines and dedicate this over to Chiltern, avoiding all the complications associated with running Chiltern trains with Seltrac signalling and over LU infrastructure, but this would have required a lot of joined-up thinking, like coordinating the electrification with the Met resignalling, but this boat has already sailed.
From a programming point of view it seems fairly neat. Firstly remodel Rickmansworth and make that the Met northern terminus. Probably build a completely new station to act as an interchange, replacing the awkward current curved station with its short platforms (on the site of the supermarket built on the former station car park?). Then run Marylebone to Aylesbury as a diesel service running over de-electrified LU infrastructure on LU legacy signalling until such time as resignalling to mainline standards, separating Harrow-on-the-Hill in the process, finally electrifying as a final phase. One could even save some money by running with cascaded 321s!
The Met loses the Amersham section which is operationally a pain for various reasons, and avoids all the hassle of Chiltern having to run over its infrastructure.
One issue which springs to mind is whether Marylebone could handle extra services, but there’s scope to max out train lengths which would perhaps mean the number of extra services might be minimal. Politically there would have to be some sweetener for those wishing to reach the city - perhaps a Met service from Harrow to Aldgate in the peaks allowing for easy interchange? This is where it perhaps falls down as whilst it’s all operationally good for the railway, it doesn’t necessarily provide the capacity in the way it’s needed / wanted most at peak times.
This is all a bit dreamful though, as I don’t think the Amersham route is going to look much different to today in a decade or two’s time. The interaction between DFT, TFL, Chiltern and Network Rail makes it too complex compared to doing tinkering of low-lying fruit on the High Wycombe route!