The other option for hotels “near” LHR are those close to Paddington. Just add 15 mins for the HEX.
Bath Road hotels can also be significantly cheaper than the on airport hotels, even after adding on the cost of an Uber or taxi. Last year paid 70 GBP for a night at the Moxy. Although obviously not as convenient as on airport, not that much different to using a T4 hotel when not actually using T4 for arrival or departure .