Just a thought …
Especially as you seem to have a fairly 'open' itinerary (always the best sort): when you ship your bike from wherever in Americana down to Thailand, you will no doubt follow on aboard a flight to the same destination (presumably Bangkok).
Rather than flying east -to- west, why don’t you consider flying west -to- east and stopover in the UK along the way. You could then arrange your visa during a slightly extended layover time in England .. and afterwards onward fly down to Thailand with a freshly issued post-dated Pak visa in your passport?
An option worth considering IMHO.
All the best with whatever you decide.
Keith
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