You can use a lower from wherever. Aero Precision makes more than 50% of other manufacturers lowers today... they are a good option and can usually be had less than $100.
I would suggest buying a prebuilt upper and building out your lower as you see fit. It's easy and requires very little tools. The upper requires specialized tools so you won't save any money there - at least on yoru first build. You won't beat a Daniel Defense cold hammer forged barrel... so if you don't want to get a standard DD upper... you can get one of the uppers from AIM Surplus that include DD barrels. Definitely a good option.
Glock 26 G4 | Glock 19 G4 | Glock 21 G4 | Glock 20 G4 | Smith & Wesson M&P 9 Pro | Smith & Wesson M&P 22 | Sig Sauer P220 Elite Dark | Sig Sauer P226 MK25
Daniel Defense DDM4 V4 | Arsenal SGL 21 | ASA SBR w/ Side Charger | Mega/PSA M4 Clone | Remington 700 SPS Tactical | Savage Mark II FV-SR
Mossberg 590A1 20" SP | Mossberg 590A1 18" GR | Mossberg 500 Cruiser