We are trying to get from Israel (TLV) to the states after a Rome to Israel cruise. The cheaper flights have an early morning flight out of TLV which means we would have to leave our hotel at 2-3 AM, making a hotel stay pretty useless.
So, we found a multicity flight that covers our flight to Europe and then also from TLV to LHR to CMH for $950 (a really good price) with a 13 hour nighttime layover in LHR.
Could we exit the airport, stay at a nearby LHR hotel overnight, and easily make it back to LHR within that time window? Our checked luggage would hopefully still be the responsibility of British Airways, and we would just take our carryons to the hotel. It also makes sense to break up the usual 19-22 hour flight to get back to the USA.
Are there errors in my thinking?