I mean, how cheap is cheap ? For around $600-800, you can get small(ish) Electric pool heaters designed for above-ground pools/Spas, about 10-11Kw (35,000BTUs) - would probably do the job for a one-off sort of thing, but certainly wouldn't be 'efficient' or sustainable. You can get propane based ones (100K BTU) for around 1000-1500...
Using others numbers, you need 1M BTU assuming no outside heating (solar etc). Then you have to figure out what it takes to KEEP it there, or how much you LOSE every day. Rough estimate is about 5BTU per sqft per degree of difference. You don't say how big the pool is, but assuming 10,000 gallon, thats about 21f't diameter, so 10.5^2 = 110 * 3.14 = approx 350sq ft. Average DFW temp spread in October is 80-60F, so assuming you want to maintain 80 in the pool, call the 'average ambient' 70, so 10F to maintain...
So, roughly 5 x 350 x 10 = 17,500 BTU to HOLD the temp, once you get it UP to temp. 35kBTU would mean you were essentially heating at 17k/hr, maybe a little more depending... so roughly 40-60 hours without any outside help. Then it'd be running fairly hard to keep it there...but in theory, it'd work. So many variables, anything 'precise' is going to be impossible...Ambient temp, how windy it is, how fast the water runs, efficiency of the heater...etc etc etc. Your mileage will almost certainly NOT be what you planned
Say 60 hours at 10Kw at $0.15/kw = $90...maybe you could sell the heater at the end...
Disclaimer : I failed math, and there is no Holiday Inn locally for me to have stayed in last night !