Proper driving technique is the only solution if you don't want to have the gearbox rebuilt.
That said, despite not knowing your financial situation I would definitely recommend guess works. (http://guess-works.com/)
My brother's mini had the same issues initially as you (3rd -> 2nd crunching, sometimes 1st > 2nd, etc). Clearly the synchros were well and truly worn out. However, he tried to learn proper technique whilst trying to figure out what to do eventually with his mini. Rev matching and even double clutching if the synchros are not working whatsoever is definitely a solution. Remember that very old transmissions didn't have synchros at all so people had to make do with techniques like that!
What prompted us to go to guessworks is that his differential exploded, cracking the case and stranding the car completely. We went to guess works.
I have an invoice somewhere but I specifically remember 802.11GBP or something like that for:
- New case (since the diff explosion cracked the case)
- All bearings and bushings and seals replaced
- Any worn synchros replaced
- New 3.44 differential (compared to the 2.7 in the MPIs, a nice little upgrade)
- Moly X-pin diff, said to be stronger. In fact Guess Works practically challenged us to break it!!
- New clutch
- New oil pump
- All new gaskets
- Guess work's time
- New layshaft
- Centre oil pickup
- Probably a bunch of other things I am forgetting
Our situation was different, GW mentioned that he had a couple of weeks lead time on any gearboxes sent to him and, because I live in a different country to my brother, we needed to meet up to get the engine out. GW offered us to take the engine directly to his work shop on a Saturday and he would rebuild it while we waited. We took the whole power unit to GW and he broke it down before working on the different components. We paid for that service, I believe it would've been cheaper if we just took the gearbox in isolation to him but as we wanted the clutch changing and the whole unit having at least a visual inspection we took the whole thing.
All in all, it took only a few hours for GW to rebuild the gearbox and other components. My brother is mostly extremely happy with the service. He might pop up in this thread to give his opinion.
Finally, the cost, frankly I don't think you can beat that cost any where. GW is a specialist expert in mini gearboxes and clearly knows his stuff. You would find it extremely difficult to find someone as knowledgeable as he for a similar price. It just doesn't make sense to try to find some no-name garage to carry out repairs on a gearbox they haven't seen in years or probably haven't even touched. In Greece of all places!
Stripping a mini to take the engine out is honestly not that difficult. It's all just lego at the end of the day and it would give you the opportunity to rebuild/replace a few other things on the way to getting it out/in. Shipping JUST a gearbox to GW, for me, in Poland (guessing it would be a similar price?) is about 90GBP. On top of the cost for GW to do his thing, it's well under 1000GBP. Depending on the work you need doing it may be cheaper as well! There's an online configuration page on GW's site to choose what you need.
SERIOUSLY, USE GUESSWORKS.
Edited by AeroNotix, 18 August 2017 - 10:38 AM.