Don't worry about the connection time in Doha. The airport is very small and everything is well organized so everything should be fine.
I've enjoyed several trips to the middle east, including BAH,DXB and SHJ, is DOH worth a visit and do the have a golf course !
Yeah you'll enjoy a visit in Doha. QR can arrange that by having you arrive from MLE and then take the LHR flight the next day or later. Doha is a very nice city, the architecture is very interesting. The sea is beautiful, and shopping is good (though not as good as Dubai). Yes their is a Golf Course here, one of the best in the Middle East. There is a yearly tournamtent held there as part of the European PGA tour.
One problem though is that the Golf course is quite expensive. The cheapest way to go there is to include it in your holiday package.
Regards,
MTQatar