I have made good experience with using sodium formate as a chain-transfer agent for molecular weight control in aqueous solution polymerization of acrylamide [Macromol. Chem. Phys. 2007, 208, 1744–1752.] and N-isopropylacrylamide [Soft Matter 2010, 6, 3184–3190], inspired by the work of Fevola, Hester, and McCormick [J. Polym. Sci. A: Polym. Chem. 2003, 41, 560–568]. According to my memory, polymerization at a molar concentration of 0.25 mol/L should give a polymer with molar mass of around 200,000 g/mol if a molar concentration of sodium formate of 0.25 g/L is used as well (that is, an equimolar amount of the chain-transfer agent rel. to the monomer). I hope this information will be useful for your given case of copolymerization with acrylic acid.
Polymerisation of acrylic acid and acrylamide is rather easy in solution. 200K dalton is a medium to high Mw so using a typical sodium persulfate / sodium bisulfite system should work just fine, in water with polymeriztion temperatures around 80 - 90°C. You should not need an additional transfer agent for such high Mw, Bisulfite in itself will play that role. Many old patent exist that describe the conditions and the amounts of initiator needed, look for old patents from Rohm and Haas.