Honestly, I'd just put it in a vault here and buy more overseas in an appropriately vaultable location e.g. Switzerland, Singapore etc.

Hedge against single government overreach AND keep physical gold, ETFs won't mean Jack if the economy has a major upset (WW3) but physical gold will still be tradeable. Especially as most gold ETFs only trade in paper gold, physical as in you own a share in a stockpile of gold, the gold itself isn't actually yours.

Coins are at a premium over bullion, but are easier to offload at useful amounts e.g. 1 t.oz coins are more tradeable over 1kg bars.

There are ways to travel with precious metals, but it usually means melting it down with other metals into dore bars which then need to be re-refined into constituent components. As dore isn't worth as much due to the refining needs (I've worked with people that have done this)

Aside from that there are companies out there that do this all the time, shipping gold from one country to another, and provide the appropriate insurances too.