If you want to play this system I would treat it as a balanced club, unbalanced diamond system and collect notes on those. Pretend the 4=4=4=1 hand is 4=4=3=2, hopefully that is legal in your region even with a small singleton.
[hv=https://www.bridgebase.com/tools/handviewer.html?bbo=y&lin=st%7C%7Cmd%7C3SAQJ97HK3DQ742CT4%2CST6HAQJT64DJ8CKJ2%2CS3H9875DA965C8653%2CSK8542H2DKT3CAQ97%7Csv%7C0%7Cah%7CBoard%201%7Cmb%7CP%7Cmb%7C1S%7Can%7C4%2B%21S%3B%20HCP%2011-20%3B%20natural%7Cmb%7CP%7Cmb%7C2H%7Can%7C5%2B%21H%3B%20HCP%2010%2B%3B%20natural%20-%20Forcing%7Cmb%7CP%7Cmb%7C2S%7Can%7C5%2B%21S%3B%20HCP%2011-20%3B%20natural%20-%20Forcing%7Cmb%7CP%7Cmb%7C3C%21%7Can%7C3%2B%21C%3B%205%2B%21H%3B%20HCP%2011%2B%3B%203rd%20suit%20forcing%2C%20natural%20or%20looking%20for%20stopper%20-%20Game%20forcing%7Cmb%7CP%7Cmb%7C3N%7Can%7C5%21S%3B%20HCP%2011-16%3B%20game%2C%20to%20play%7Cmb%7CP%7Cmb%7CP%7Cmb%7CP%7Cpc%7CSQ%7Cpc%7CS6%7Cpc%7CS3%7Cpc%7CSK%7Cpc%7CH2%7Cpc%7CH3%7Cpc%7CHT%7Cpc%7CH7%7Cpc%7CCJ%7Cpc%7CC5%7Cpc%7CC7%7Cpc%7CC4%7Cpc%7CHQ%7Cpc%7CH5%7Cpc%7CS2%7Cpc%7CHK%7Cpc%7CSA%7Cpc%7CST%7Cpc%7CD5%7Cpc%7CS5%7Cpc%7CSJ%7Cpc%7CD8%7Cpc%7CC3%7Cpc%7CS8%7Cpc%7CS9%7Cpc%7CDJ%7Cpc%7CC6%7Cpc%7CS4%7Cpc%7CS7%7Cpc%7CC2%7Cpc%7CC8%7Cpc%7CD3%7Cpc%7CD2%7Cpc%7CCK%7Cpc%7CDA%7Cpc%7CDT%7Cpc%7CD9%7Cpc%7CDK%7Cpc%7CD4%7Cpc%7CH4%7Cpc%7CCQ%7Cpc%7CCT%7Cpc%7CH6%7Cpc%7CH8%7Cpc%7CC9%7Cpc%7CD7%7Cpc%7CHJ%7Cpc%7CH9%7Cpc%7CCA%7Cpc%7CDQ%7Cpc%7CHA%7Cpc%7CD6%7C]400|300| The winning (smerriman) method - with the same lead - was to double. Watch Argine convert 3NT+3 into 3NT-2. [/hv] [hv=https://www.bridgebase.com/tools/handviewer.html?bbo=y&lin=pn%7CSouth%2CRobot%2CRobot%2CRobot%7Cst%7C%7Cmd%7C1SA7HAT762DA53C754%2CSQJ8642H4DQJ964CA%2CSKT5HKJ98D7CJT932%2CS93HQ53DKT82CKQ86%7Csv%7CE%7Cah%7CBoard%203%7Cmb%7C2H%7Can%7C6-7%21H%3B%20HCP%204-10%3B%20weak%20hand%7Cmb%7C2S%7Can%7C5%2B%21S%3B%20HCP%2011-18%3B%20natural%7Cmb%7C4H%7Can%7C2%2B%21H%3B%20HCP%204-18%3B%20to%20play%7Cmb%7CD%21%7Can%7CHCP%209%2B%3B%20extra%20strength%2C%20at%20least%209%20points%20-%20Non%20forcing%7Cmb%7CP%7Cmb%7C5D%7Can%7C5%2B%21D%3B%205%2B%21S%3B%20HCP%2011-18%3B%20natural%7Cmb%7CP%7Cmb%7CP%7Cmb%7CD%7Can%7C6-7%21H%3B%20HCP%204-10%3B%20penalty%7Cmb%7C5N%21%7Can%7C5%2B%21D%3B%205%2B%21S%3B%20HCP%2018%3B%20choice%20of%20slam%2C%20select%20the%20strain%20-%20Forcing%7Cmb%7CP%7Cmb%7C6C%7Can%7C4%2B%21C%3B%20HCP%209-15%3B%20natural%7Cmb%7CD%7Can%7C6-7%21H%3B%20HCP%204-10%3B%20penalty%7Cmb%7C6N%7Can%7C5%2B%21D%3B%205%2B%21S%3B%20HCP%2018%3B%20to%20play%7Cmb%7CP%7Cmb%7CP%7Cmb%7CD%7Can%7C6-7%21H%3B%20HCP%204-10%3B%20penalty%7Cmb%7CP%7Cmb%7CP%7Cmb%7CP%7Cpc%7CH8%7Cpc%7CH3%7Cpc%7CH2%7Cpc%7CH4%7Cpc%7CHJ%7Cpc%7CH5%7Cpc%7CH6%7Cpc%7CS2%7Cpc%7CHK%7Cpc%7CHQ%7Cpc%7CHA%7Cpc%7CS4%7Cpc%7CHT%7Cpc%7CD4%7Cpc%7CH9%7Cpc%7CD2%7Cpc%7CH7%7Cpc%7CD6%7Cpc%7CCJ%7Cpc%7CS3%7Cpc%7CSA%7Cpc%7CS6%7Cpc%7CS5%7Cpc%7CS9%7Cpc%7CDA%7Cpc%7CD9%7Cpc%7CD7%7Cpc%7CD8%7Cpc%7CS7%7Cpc%7CSJ%7Cpc%7CSK%7Cpc%7CDT%7Cpc%7CST%7Cpc%7CC6%7Cpc%7CC4%7Cpc%7CSQ%7Cpc%7CCA%7Cpc%7CC2%7Cpc%7CC8%7Cpc%7CC5%7Cpc%7CDJ%7Cpc%7CC3%7Cpc%7CDK%7Cpc%7CD3%7Cpc%7CCQ%7Cpc%7CC7%7Cpc%7CDQ%7Cpc%7CC9%7Cpc%7CCK%7Cpc%7CD5%7Cpc%7CS8%7Cpc%7CCT%7C]400|300| And here we re-discover the "Argine double". If you want a bigger penalty just keep doubling - it almost never stops below slam.[/hv] [hv=https://www.bridgebase.com/tools/handviewer.html?bbo=y&lin=ZZ%7C%7Cpn%7Cpilowsky%2CRobot%2CRobot%2CRobot%7Cst%7C%7Cmd%7C1SA7HAT762DA53C754%2CSQJ8642H4DQJ964CA%2CSKT5HKJ98D7CJT932%2CS93HQ53DKT82CKQ86%7Csv%7CE%7Cah%7CBoard%203%7Cmb%7C1H%7Can%7C4%2B%21H%3B%20HCP%2011-20%3B%20natural%7Cmb%7C1S%7Can%7C5%2B%21S%3B%20HCP%208-17%3B%20natural%7Cmb%7C3H%7Can%7C4%21H%3B%20HCP%208-10%3B%20fit%20and%20invitational%20hand%7Cmb%7CD%21%7Can%7CHCP%2010%2B%3B%20extra%20strength%2C%20at%20least%2010%20points%20-%20Non%20forcing%7Cmb%7CP%7Cmb%7C4D%7Can%7C4-6%21D%3B%205-6%21S%3B%20HCP%208-13%3B%20natural%7Cmb%7CP%7Cmb%7CP%7Cmb%7CD%7Can%7C4-5%21H%3B%202-4%21S%3B%20HCP%2012-13%3B%20penalty%7Cmb%7C4N%21%7Can%7C4-6%21D%3B%206%21S%3B%20HCP%208-13%3B%20RKCB%20in%20%21S%20%28%21S%20King%20is%20a%20keycard%29%20-%20Forcing%7Cmb%7CP%7Cmb%7C5D%21%7Can%7C2%2B%21S%3B%20HCP%2010-18%3B%200%20or%203%20key%20card%28s%29%20-%20Forcing%7Cmb%7CP%7Cmb%7C5S%7Can%7C4-6%21D%3B%206%21S%3B%20HCP%208-13%3B%20to%20play%7Cmb%7CP%7Cmb%7CP%7Cmb%7CD%7Can%7C4-5%21H%3B%202-4%21S%3B%20HCP%2012-13%3B%20penalty%7Cmb%7CP%7Cmb%7CP%7Cmb%7CP%7Cpc%7CD7%7Cpc%7CD8%7Cpc%7CDA%7Cpc%7CD4%7Cpc%7CHA%7Cpc%7CH4%7Cpc%7CH8%7Cpc%7CH3%7Cpc%7CH2%7Cpc%7CS2%7Cpc%7CH9%7Cpc%7CH5%7Cpc%7CS4%7Cpc%7CST%7Cpc%7CS3%7Cpc%7CS7%7Cpc%7CHK%7Cpc%7CHQ%7Cpc%7CH6%7Cpc%7CS6%7Cpc%7CSQ%7Cpc%7CSK%7Cpc%7CS9%7Cpc%7CSA%7Cpc%7CD5%7Cpc%7CD6%7Cpc%7CS5%7Cpc%7CD2%7Cpc%7CCJ%7Cpc%7CC6%7Cpc%7CC4%7Cpc%7CCA%7Cpc%7CD9%7Cpc%7CC3%7Cpc%7CDT%7Cpc%7CD3%7Cpc%7CCQ%7Cpc%7CC5%7Cpc%7CDJ%7Cpc%7CC2%7Cpc%7CCK%7Cpc%7CC7%7Cpc%7CDQ%7Cpc%7CC9%7Cpc%7CC8%7Cpc%7CH7%7Cpc%7CS8%7Cpc%7CCT%7Cpc%7CSJ%7Cpc%7CHJ%7Cpc%7CDK%7Cpc%7CHT%7C]400|300| Unfortunately, because I foolishly opened 1♥ I only managed 5SX-3. [/hv]