will the remote end participate in fixing the overlap? you could SNAT to a fictitious subnet on the tunnel and have the remote do DNAT for the incoming packets
your end would be connecting TO fictitious IPs and be source NATed inside that same fictitious subnet (you can attch it to the tunnel interface for ease of use)
the remote would be receiving connections to/from a fictitious subnet they'd need to destination nat to the appropriate servers
else you'll want to look into policy based forwarding as regular routing is applied after NAT and DNAT will be an issue in this case
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